Ratio

Ratio

TGM Original Questions
  1. Given that \(0.74m : \frac{37}{20} = 35 : \frac{14}{5}\), find the value of \(m\).
  2. Given that \(\frac{4}{3}x : \frac{1}{25x} = \frac{75x}{19} : \frac{57}{4}, x \neq 0\), find the value of \(x\).
  3. Given that \((x + 3) : \frac{2}{3} : \frac{16}{9} = \frac{3}{2} : 3 : (y - 2)\), find the values of \(x\) and \(y\).
  4. Given that \(4^{3} : 16^{2} : a = 2^{5} : b : 8^{3}\), find the values of \(a\) and \(b\).

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Answer:(i) \(m=31\frac{1}{4}\) (ii) \(x=\frac{3}{361}\) (iii) \(x=-2\frac{2}{3}\), \(y=10\) (iv) \(a=1024\), \(b=128\)

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