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Finding the Fourth Proportional to 95.74, 132.15 and 54.32

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Solution

The fourth proportional to 95.74, 132.15 and 54.32 is: 74.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.74 : 132.15 = 54.32 : x
  2. Step 2: Convert to fraction form
    95.74/132.15 = 54.32/x
  3. Step 3: Cross multiply
    95.74x = 132.15 × 54.32
  4. Step 4: Simplify right side
    95.74x = 7,177.70
  5. Step 5: Solve for x
    x = 7,177.70/95.74
  6. Step 6: Final answer
    x = 74.97

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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.