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Finding the Fourth Proportional to 95.28, 142.76 and 54.61

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Solution

The fourth proportional to 95.28, 142.76 and 54.61 is: 81.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.28 : 142.76 = 54.61 : x
  2. Step 2: Convert to fraction form
    95.28/142.76 = 54.61/x
  3. Step 3: Cross multiply
    95.28x = 142.76 × 54.61
  4. Step 4: Simplify right side
    95.28x = 7,795.90
  5. Step 5: Solve for x
    x = 7,795.90/95.28
  6. Step 6: Final answer
    x = 81.82

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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.