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Finding the Fourth Proportional to 76.87, 115.31 and 22.76

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Solution

The fourth proportional to 76.87, 115.31 and 22.76 is: 34.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.87 : 115.31 = 22.76 : x
  2. Step 2: Convert to fraction form
    76.87/115.31 = 22.76/x
  3. Step 3: Cross multiply
    76.87x = 115.31 × 22.76
  4. Step 4: Simplify right side
    76.87x = 2,623.94
  5. Step 5: Solve for x
    x = 2,623.94/76.87
  6. Step 6: Final answer
    x = 34.14

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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.