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Finding the Fourth Proportional to 76.97, 115.31 and 42.80

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Solution

The fourth proportional to 76.97, 115.31 and 42.80 is: 64.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.97 : 115.31 = 42.80 : x
  2. Step 2: Convert to fraction form
    76.97/115.31 = 42.80/x
  3. Step 3: Cross multiply
    76.97x = 115.31 × 42.80
  4. Step 4: Simplify right side
    76.97x = 4,934.80
  5. Step 5: Solve for x
    x = 4,934.80/76.97
  6. Step 6: Final answer
    x = 64.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.