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Find the triplicate ratio of (i) \[\mathbf{3}:\text{ }\mathbf{4}\] (ii) \[{\scriptscriptstyle 1\!/\!{ }_2}:\text{ }\mathbf{1}/\mathbf{3}\]

(i) \[\mathbf{3}:\text{ }\mathbf{4}\]

We know that

Triplicate ratio of \[3:\text{ }4\text{ }=\text{ }{{3}^{3}}:\text{ }{{4}^{3}}~=\text{ }27:\text{ }64\]

(ii) \[{\scriptscriptstyle 1\!/\!{ }_2}:\text{ }1/3\]

We know that

Triplicate ratio of \[{\scriptscriptstyle 1\!/\!{ }_2}:\text{ }1/3\text{ }=\text{ }{{\left( 1/2 \right)}^{3}}:\text{ }{{\left( 1/3 \right)}^{3}}~=\text{ }1/8:\text{ }1/27\text{ }=\text{ }27:\text{ }8\]