Three quantities X, Y and Z are such that X varies directly as the square root ofY and inversely as the fourth root of Z. When X = 64, Y = 16 and Z = 625.
(a) Determine the equation connecting X, Y and Z.
(b) Find the value of Z when Y = 36 and X = 160.
(c) Find the percentage change in X when Y is increased by 44%.
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