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Finding the Fourth Proportional to 94.24, 129.72 and 76.80

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Solution

The fourth proportional to 94.24, 129.72 and 76.80 is: 105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.24 : 129.72 = 76.80 : x
  2. Step 2: Convert to fraction form
    94.24/129.72 = 76.80/x
  3. Step 3: Cross multiply
    94.24x = 129.72 × 76.80
  4. Step 4: Simplify right side
    94.24x = 9,962.50
  5. Step 5: Solve for x
    x = 9,962.50/94.24
  6. Step 6: Final answer
    x = 105.71

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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.