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Finding the Fourth Proportional to 97.57, 134.52 and 76.81

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Solution

The fourth proportional to 97.57, 134.52 and 76.81 is: 105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.57 : 134.52 = 76.81 : x
  2. Step 2: Convert to fraction form
    97.57/134.52 = 76.81/x
  3. Step 3: Cross multiply
    97.57x = 134.52 × 76.81
  4. Step 4: Simplify right side
    97.57x = 10,332.48
  5. Step 5: Solve for x
    x = 10,332.48/97.57
  6. Step 6: Final answer
    x = 105.90

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Why These Related Problems?

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