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Finding the Fourth Proportional to 88.50, 132.87 and 75.75

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Solution

The fourth proportional to 88.50, 132.87 and 75.75 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.50 : 132.87 = 75.75 : x
  2. Step 2: Convert to fraction form
    88.50/132.87 = 75.75/x
  3. Step 3: Cross multiply
    88.50x = 132.87 × 75.75
  4. Step 4: Simplify right side
    88.50x = 10,064.90
  5. Step 5: Solve for x
    x = 10,064.90/88.50
  6. Step 6: Final answer
    x = 113.73

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Why These Related Problems?

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