L.B. Johnson Middle School held a track and field event during the school year.
Miguel took part in a four person shot put team. Shot put is a track and field
event where athletes throw (or “put”) a heavy sphere, called a “shot,” as far as
possible. To determine a team score, the distances of all team members are
added. The team with the greatest score wins first place. The current winning
team’s final score at the shot put is 52.08 ft. Miguel’s teammates threw the
shot put the following distances: 12.26 ft., 12.82 ft., and 13.75 ft. Exactly
how many feet will Miguel need to throw the shot put in order to tie the current
first-place score? Show your work.