Finding the Fourth Proportional to 109.59, 164.41 and 55.42

Step by Step Solution

1. Step 1: Write the proportion equation
   109.59 : 164.41 = 55.42 : x
2. Step 2: Convert to fraction form
   109.59/164.41 = 55.42/x
3. Step 3: Cross multiply
   109.59x = 164.41 × 55.42
4. Step 4: Simplify right side
   109.59x = 9,111.60
5. Step 5: Solve for x
   x = 9,111.60/109.59
6. Step 6: Final answer
   x = 83.14