Finding the Fourth Proportional to 109.69, 164.46 and 82.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109.69 : 164.46 = 82.25 : x
2. Step 2: Convert to fraction form
   109.69/164.46 = 82.25/x
3. Step 3: Cross multiply
   109.69x = 164.46 × 82.25
4. Step 4: Simplify right side
   109.69x = 13,526.94
5. Step 5: Solve for x
   x = 13,526.94/109.69
6. Step 6: Final answer
   x = 123.32