The spacing of the frets on the neck of a classical guitar is determined from the equation d = (21.9)(2)^{(20 - x)/12}, where x = the fret number and d = the distance in centimeters of the x^th fret from the bridge.

(a) Determine how far the 19th fret should be from the bridge (rounded to one decimal place).

(b) Determine how far the 4th fret should be from the bridge (rounded to one decimal place).

(c) The distance of the nut from the bridge can be found by letting x = 0 in the given exponential equation. Find the distance from the nut to the bridge (rounded to one decimal place).