Hello, Michael,
The ratio sought is the width (W) to the length (L). I'll write this as W/L.
Since we know W = 72mm and L = 105mm, we can simply divide the two:
W/L = 72mm/105mm
(72mm)/(105mm) = 0.685714 . . . . . . .
We are asked for an answer "To the nearest mm."
This actually doesn't make sense to me, since the mm cancel out - it is a ratio without units. In the spirit of "to the nearest mm," I believe we can round to 0.69. There are only two significant digits in the width (72), so our answer should contain no more than two significant digits, also.
Bob