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Finding the Fourth Proportional to 76.97, 115.46 and 22.86

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Solution

The fourth proportional to 76.97, 115.46 and 22.86 is: 34.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.97 : 115.46 = 22.86 : x
  2. Step 2: Convert to fraction form
    76.97/115.46 = 22.86/x
  3. Step 3: Cross multiply
    76.97x = 115.46 × 22.86
  4. Step 4: Simplify right side
    76.97x = 2,639.42
  5. Step 5: Solve for x
    x = 2,639.42/76.97
  6. Step 6: Final answer
    x = 34.29

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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.