My 182k has some modifications (STOL kit, VGs, Pponk, 3-blade prop, higher nose fork) so don't use my numbers unless your plane is identical, but when I was first learning, I used 80mph abeam the numbers with 10* flaps and enough RPMs to see a stable 450fpm descent, then 75 on base after getting to 20* flaps, then 70 on a stable final, using power to keep me solid on my aimpoint with 40* flaps. For me this is with ~2000 rpm. For most landings, I keep ~1300 rpm in while touching down so I can "grease" it. That usually yields a ~1000 foot touchdown roll with minimal braking.
At about 100 feet AGL, my eyes move to the runway only, and I ignore the airspeed, but since my stratus 3 captures everything, this is what I have seen in hundreds of landings. My gradual round out started out 100 feet agl but is now much lower with experience, but I lose about 10 mph in rounding out to about 1' above the runway when I pass my aimpoint. This is done by slowly pulling the power the whole roundout while gently increasing pitch until I end up in level flight somewhere under a foot agl.
Then I wait until I know seat of pants I am going to sink (less than a second usually), and then I pull back enough to hold a 5* or so flare (not looking at the angle during flight mind you - this is recorded by the stratus 3) which means increasing the yoke pressure more and more rapidly until I'm stalled, regardless of when I touch down, because I usually touch down while holding a flare.
My data shows that I consistently touch down at ~45 mph using this approach.
Steep approaches I use 60 mph for final a=wtih 40* flaps and no throttle, pre-roundout, and at the end of the roundout finds me at 50 mph, and that puts me on the ground about 100' from my touch down point max, and stopped within 400' consistently with firm braking but no heroics.
I get on the brakes asap because this reduces my angle of attack dramatically and "instantly" stops the plane from flying. I also raise my flaps as soon as I touch down.
The "backcountry" approach method is different - some people fly final near the onset of stall, keeping the plane level but with no throttle. That requires a strong blast on the throttle and a firm touchdown. I highly suggest picking a good agl where you can try this with a lot of cushion and picking an altitude to be your "runway" until you can nail this, or gradually decreasing speeds of final so you can learn to adapt.
I can do a short field near gross with 20* flaps in about 5-600', so in my case landing technique really could matter, but I'm not experienced enough to land shorter than 400' and I also haven't seen many strips where I would need to, so I've stuck with 60 mph to provide safety margin. But that gives me a 200' touchdown fudge on a strip I could leave under my own power. Keep in mind almost all of this is around 3,000 DA. Winter is a much better picture! Same thing with headwinds, which are AWEsome! This week I had a 28kt headwind on takeoff, which allowed me to have a helicopter ride in my 182.
on the 1.3 X Vs0 advice: My measured VS0 is 38 IAS mph. Given the 1.3 advice, 1.3 X 38 = 50 mph, but there's little chance of me doing short final at 50 until I gain lots more experience and instead of a nose-down descent do a steep level approach with an intention to blip the throttle hard on flare. even then, I'm not sure I need to slow down that much. I'm much more comfortable doing my descent and base to final at speed, and dissipate the speed in the last 50' AGL.
That said, if there are no obstacles in the approach, you should practice approaching at 80 or even 120 mph during final and then doing a power pull and roundout to get you to 30' AGL at 60 mph - that's what I have to do many times at larger airports and with some practice it becomes very simple to hit your mark - and this kind of variation, when you have enough experience to do it safely, will give you what you need to be fluid and adapt to the situation safely.
BTW I also have a 60-lb weight in my baggage compartment, in addition to 45 lbs in the extended baggage! This really matters for elevator authority in the flare! If you're anywhere in the first 30% of your CG envelope, add some weight aft. I'm at about 40-42" consistently.
Hope some of that helps. Again don't just use these numbers, they are just food for thought unless you're in my plane.