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Finding the Fourth Proportional to 95.92, 132.36 and 61.42

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Solution

The fourth proportional to 95.92, 132.36 and 61.42 is: 84.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.92 : 132.36 = 61.42 : x
  2. Step 2: Convert to fraction form
    95.92/132.36 = 61.42/x
  3. Step 3: Cross multiply
    95.92x = 132.36 × 61.42
  4. Step 4: Simplify right side
    95.92x = 8,129.55
  5. Step 5: Solve for x
    x = 8,129.55/95.92
  6. Step 6: Final answer
    x = 84.75

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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.