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Finding the Fourth Proportional to 95.96, 132.49 and 75.22

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Solution

The fourth proportional to 95.96, 132.49 and 75.22 is: 103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.96 : 132.49 = 75.22 : x
  2. Step 2: Convert to fraction form
    95.96/132.49 = 75.22/x
  3. Step 3: Cross multiply
    95.96x = 132.49 × 75.22
  4. Step 4: Simplify right side
    95.96x = 9,965.90
  5. Step 5: Solve for x
    x = 9,965.90/95.96
  6. Step 6: Final answer
    x = 103.85

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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.