Question

The fourth third and second terms arein a proportion of 15,24,x,54 respectively find the third term ​

Answer 1

Answer:

$according \: to \: question \\ all \: are \: lies \: in \: an \: ap \\ we \: know \: that \\ the \: common \: difference \: of \: an \: ap \: are \: equal \\ now \\ (a2 - a1) = (a3 - a2) \\ (24 - 15) = (54 - x) \\ 9 = (54 - x) \\ x = (54 - 9) \\ x = 45$

Hence the value of x is 45