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Finding the Fourth Proportional to 96.86, 133.80 and 76.16

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Solution

The fourth proportional to 96.86, 133.80 and 76.16 is: 105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.86 : 133.80 = 76.16 : x
  2. Step 2: Convert to fraction form
    96.86/133.80 = 76.16/x
  3. Step 3: Cross multiply
    96.86x = 133.80 × 76.16
  4. Step 4: Simplify right side
    96.86x = 10,190.21
  5. Step 5: Solve for x
    x = 10,190.21/96.86
  6. Step 6: Final answer
    x = 105.21

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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.