 Hello all and welcome to the session. Today the question is if 42 is to 12 as 7 is to x minus x. Now before starting the solution of this question, we should know our result of proportion. And that is if a is to b as c is to t, this implies a is to b is equal to c is to t. Now product of extremes is equal to product of means where these two terms are called the means and these three terms are called the extremes. This implies product of extremes which means a into b, ad is equal to product of means which is b into c that is bc, ad is equal to bc. Now this will work as a key idea for solving out this question. And now we will start with the solution. Given 32 is to 12 as 7 is to x then we have to find the value of x as 32 12 out of proportion this implies is to 12 is equal to 7 is to x. The formula which is given in the key idea product of extremes is equal to product of means where these two terms are called the means and these three terms are called the extremes. This implies 2 into x these are the product of the extremes is equal to product of the means which means 12 into 7. This implies x is equal to 12 into 7 over 42. Now here 7 into 6 is 42 and 6 into 2 is 12 this implies x is equal to 2. Therefore the value of x is equal to 2. So this is the solution for this question and that's all for this session. Hope you all have enjoyed the session.