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Answer:
a:b::c:d
Step-by-step explanation:
1/b + 1/d =2/c (LCM of 1/b and 1/d)
d+b/bd =2/c
d+b = 2bd/c
2b =c(d+b)/d = cd+ cb /d = c + cb/d
Therefore 2b = c + cb/d
Also 2b = a+c (given)
Thus c+cb/d = a+c
cb/d= a
ad= cb
a/b= c/d
Hence a:b::c:d
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