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Ratio Resolution (Posted on 20110615) 

Each of x, y and z is a positive real number.
Determine the ratio x:y:z in each of the following equations.
(I) (x+z)/y = z/x = x/(zy)
(II) 21(x^{2} + y^{2} + z^{2}) = (x + 2y + 4z)^{2}
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