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Finding the Fourth Proportional to 96.56, 133.08 and 81.83

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Solution

The fourth proportional to 96.56, 133.08 and 81.83 is: 112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.56 : 133.08 = 81.83 : x
  2. Step 2: Convert to fraction form
    96.56/133.08 = 81.83/x
  3. Step 3: Cross multiply
    96.56x = 133.08 × 81.83
  4. Step 4: Simplify right side
    96.56x = 10,889.27
  5. Step 5: Solve for x
    x = 10,889.27/96.56
  6. Step 6: Final answer
    x = 112.78

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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.