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Finding the Fourth Proportional to 95.96, 131.76 and 85.12

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Solution

The fourth proportional to 95.96, 131.76 and 85.12 is: 116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.96 : 131.76 = 85.12 : x
  2. Step 2: Convert to fraction form
    95.96/131.76 = 85.12/x
  3. Step 3: Cross multiply
    95.96x = 131.76 × 85.12
  4. Step 4: Simplify right side
    95.96x = 11,215.41
  5. Step 5: Solve for x
    x = 11,215.41/95.96
  6. Step 6: Final answer
    x = 116.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.