If A : B : C = 3 : 4 : 7, then what is the ratio of (A / B) : (B / C) : (C / A)? Options:  A) 63 : 48 : 196  B) 66 : 49 : 190  C) 56 : 40 : 186  D) 46 : 38 : 160  E) 43 : 20 : 170
EXPLANATION:   Hint: If a = kb for some constant k, then we can say that a is directly proportional to b.   63 : 48 : 196 : B : C = 3 : 4 : 7   63 : 48 : 196ssume, 63 : 48 : 196 = 3 k, B = 4 k, C = 7 k   Therefore,   63 : 48 : 196/B	=	(3k)/(4K)	,	B/C	=	(4k)/(7K)	,	C/63 : 48 : 196	=	(7k)/(3K)   63 : 48 : 196/B	=	(3)/(4)	,	B/C	=	(4)/(7)	,	C/63 : 48 : 196	=	(7)/(3)   L.C.M of 3, 4, 7 is 84   (3 x 84) / 4 = 63   (4 x 84) / 7 = 48   (7 x 84) / 3 = 196   Ratio of (63 : 48 : 196/B) : (B/C) : (C/63 : 48 : 196) = 63:48:196   63 : 48 : 196NSWER IS 63 : 48 : 196
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If A : B : C = 3 : 4 : 7, then what is the ratio of (A / B) : (B / C) : (C / A)?