When I first ran across this, I suspected some sort of spoof. A quick Google search shows it's on the level, however. Some chiropractic association, apparently in search of licensing for its members, ran these contests for several years in the 50's and 60's. An alternate title for the winner was "Miss Correct Posture."
There's a site with a whole bunch of photos from this contest, so if one doesn't mind the lack of the usual beauty contest bikini but really gets turned on by X-rays, this would be the site for you.