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Finding the Fourth Proportional to 96.76, 133.62 and 61.85

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Solution

The fourth proportional to 96.76, 133.62 and 61.85 is: 85.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.76 : 133.62 = 61.85 : x
  2. Step 2: Convert to fraction form
    96.76/133.62 = 61.85/x
  3. Step 3: Cross multiply
    96.76x = 133.62 × 61.85
  4. Step 4: Simplify right side
    96.76x = 8,264.73
  5. Step 5: Solve for x
    x = 8,264.73/96.76
  6. Step 6: Final answer
    x = 85.42

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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.