Finding the Fourth Proportional to 101.82, 152.56 and 56.06

Step by Step Solution

1. Step 1: Write the proportion equation
   101.82 : 152.56 = 56.06 : x
2. Step 2: Convert to fraction form
   101.82/152.56 = 56.06/x
3. Step 3: Cross multiply
   101.82x = 152.56 × 56.06
4. Step 4: Simplify right side
   101.82x = 8,552.51
5. Step 5: Solve for x
   x = 8,552.51/101.82
6. Step 6: Final answer
   x = 84.00