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1. Ratio and Proportion
1. If `a:b:c=2:3:5` then find value of `(a^2+b^2+c^2)/(ab+bc+ca)`
2. If `a:b=2:3,b:c=4:5` then find `a:b:c`
3. If `a/b=c/d=e/f` then prove that `(2a+3c-4e)/(2b+3d-4f)=(5a-4c+3e)/(5b-4d+3f)`
4. If `x/(y+z)=y/(z+x)=z/(x+y)` then prove the value of each ratio is `1/2` or `-1`
5. Geometric Mean
6. Ratios(duplicate, triplicate) and proportional(mean, third, fourth)
6.1 Duplicate Ratio
6.2 Triplicate Ratio
6.3 Sub-Duplicate ratio
6.4 Sub-Triplicate Ratio
6.5 Compounded Ratio
6.6 Mean proportional
6.7 Third proportional
6.8 Fourth proportional
6.9 Compare ratios





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