Advertisements
Advertisements
Question
Verify the following:
108 : 72 : : 129 : 86
Solution
108 : 72 : : 129 : 86
`108/72 =(108 ÷ 36)/(72 ÷ 36) =3/2` (H.C.F. of 108 and 72 is 36.)
`129/86=(129 ÷ 43)/(86 ÷ 43)=3/2` (H.C.F. of 129 and 86 is 43.)
Hence, 108 : 72 : : 129 : 86 are in proportion.
APPEARS IN
RELATED QUESTIONS
What least number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional?
Find two numbers such that the mean proportional between them is 12 and the third proportional to them is 96.
If three quantities are in continued proportion, show that the ratio of the first to the third is the duplicate ratio of the first to the second.
If a, b, c and dare in continued proportion, then prove that
`sqrt (("a + b + c")("b + c + d")) = sqrt "ab" + sqrt "bc" + sqrt "cd"`
Find the fourth proportional to 9.6 kg, 7.2 kg, 28.8 kg
The weight of 65 books is 13 kg.
(i) What is the weight of 80 such books?
(ii) How many such books weigh 6.4 kg?
If a, b, c and d are in proportion, prove that: (ma + nb) : b = (mc + nd) : d
If a, b, c and d are in proportion, prove that: `(a^2 + ab + b^2)/(a^2 - ab + b^2) = (c^2 + cd + d^2)/(c^2 - cd + d^2)`
What number must be added to each of the numbers 15, 17, 34 and 38 to make them proportional?
If 2, 6, p, 54 and q are in continued proportion, find the values of p and q.