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Finding the Fourth Proportional to 95.24, 131.46 and 75.86

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Solution

The fourth proportional to 95.24, 131.46 and 75.86 is: 104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.24 : 131.46 = 75.86 : x
  2. Step 2: Convert to fraction form
    95.24/131.46 = 75.86/x
  3. Step 3: Cross multiply
    95.24x = 131.46 × 75.86
  4. Step 4: Simplify right side
    95.24x = 9,972.56
  5. Step 5: Solve for x
    x = 9,972.56/95.24
  6. Step 6: Final answer
    x = 104.71

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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.