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Finding the Fourth Proportional to 88.60, 132.90 and 75.85

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Solution

The fourth proportional to 88.60, 132.90 and 75.85 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.60 : 132.90 = 75.85 : x
  2. Step 2: Convert to fraction form
    88.60/132.90 = 75.85/x
  3. Step 3: Cross multiply
    88.60x = 132.90 × 75.85
  4. Step 4: Simplify right side
    88.60x = 10,080.47
  5. Step 5: Solve for x
    x = 10,080.47/88.60
  6. Step 6: Final answer
    x = 113.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.