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Finding the Fourth Proportional to 96.50, 132.81 and 75.69

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Solution

The fourth proportional to 96.50, 132.81 and 75.69 is: 104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.50 : 132.81 = 75.69 : x
  2. Step 2: Convert to fraction form
    96.50/132.81 = 75.69/x
  3. Step 3: Cross multiply
    96.50x = 132.81 × 75.69
  4. Step 4: Simplify right side
    96.50x = 10,052.39
  5. Step 5: Solve for x
    x = 10,052.39/96.50
  6. Step 6: Final answer
    x = 104.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.