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Finding the Fourth Proportional to 96.42, 133.09 and 81.86

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Solution

The fourth proportional to 96.42, 133.09 and 81.86 is: 112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.42 : 133.09 = 81.86 : x
  2. Step 2: Convert to fraction form
    96.42/133.09 = 81.86/x
  3. Step 3: Cross multiply
    96.42x = 133.09 × 81.86
  4. Step 4: Simplify right side
    96.42x = 10,894.75
  5. Step 5: Solve for x
    x = 10,894.75/96.42
  6. Step 6: Final answer
    x = 112.99

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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.