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Finding the Fourth Proportional to 95.86, 132.42 and 76.24

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Solution

The fourth proportional to 95.86, 132.42 and 76.24 is: 105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.86 : 132.42 = 76.24 : x
  2. Step 2: Convert to fraction form
    95.86/132.42 = 76.24/x
  3. Step 3: Cross multiply
    95.86x = 132.42 × 76.24
  4. Step 4: Simplify right side
    95.86x = 10,095.70
  5. Step 5: Solve for x
    x = 10,095.70/95.86
  6. Step 6: Final answer
    x = 105.32

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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.