Finding the Fourth Proportional to 109.54, 164.42 and 82.42

Step by Step Solution

1. Step 1: Write the proportion equation
   109.54 : 164.42 = 82.42 : x
2. Step 2: Convert to fraction form
   109.54/164.42 = 82.42/x
3. Step 3: Cross multiply
   109.54x = 164.42 × 82.42
4. Step 4: Simplify right side
   109.54x = 13,551.50
5. Step 5: Solve for x
   x = 13,551.50/109.54
6. Step 6: Final answer
   x = 123.71