a$)(15$ marks$)$ Given the length of lines and latitude and departure calculations $($Not Balanced$)$ in the table below, determine the precision ratio and find the balanced latitude and departure by the Compass $($Bowditch$)$ rule.

$\backslash$table$[[$Course$/$line$,\backslash$table$[[$Length of$],[$line$/$course$],[($meters$)]],$Latitudes,Departures$],[$AB$,60\mathrm{.}00,-25\mathrm{.}36,54\mathrm{.}38],[$BC$,70\mathrm{.}00,29\mathrm{.}58,63\mathrm{.}44],[$CD$,100\mathrm{.}00,-64\mathrm{.}38,-76\mathrm{.}60],[$DA$,72\mathrm{.}76,60\mathrm{.}00,-41\mathrm{.}15]]$