I think the back is one of the biggest un-trained parts of the golf swing too...once my back started getting stronger my whole swing got better and faster. Why? Beats me, but it does.
I also believe that is part of the reason why my skinny waffer of a friend swings so ungodly fast, he has a very strong back due from being an all state swimmer. He's only like 5'9", 135-140lbs (MAYBE, i had him up to 140lbs when i showed him how to eat cuz he has a super fast metabolism) and he has to swing it in the 120-125 range because he routinely hits his 15* steel shafted 3 wood 275-280.
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I'm not a TGM or PGA certified Pro, but I did stay at a Holiday Inn Express last night