Average of four consecutive odd numbers is 106. What is the third number in ascending order

Sure, let's solve this step by step:

1. We know that the average of four consecutive odd numbers is 106. The average is calculated by adding all numbers and dividing by the quantity of numbers. In this case, we have four numbers, so the total sum of these numbers is 106 * 4 = 424.

2. Consecutive odd numbers have a difference of 2 between them. If we consider the second number as 'x', the first number will be 'x-2', the third number 'x+2', and the fourth number 'x+4'.

3. Adding these four numbers gives us the total sum, which we know is 424. So, we have the equation: (x-2) + x + (x+2) + (x+4) = 424.

4. Simplifying the equation gives us: 4x + 4 = 424.

5. Subtract 4 from both sides to isolate the term with 'x': 4x = 420.

6. Divide by 4 to solve for 'x': x = 105. This is the second number.

7. The third number in ascending order is 'x+2', so it's 105 + 2 = 107.

So, the third number in ascending order is 107.