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Finding the Fourth Proportional to 95.13, 131.22 and 76.71

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Solution

The fourth proportional to 95.13, 131.22 and 76.71 is: 105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.13 : 131.22 = 76.71 : x
  2. Step 2: Convert to fraction form
    95.13/131.22 = 76.71/x
  3. Step 3: Cross multiply
    95.13x = 131.22 × 76.71
  4. Step 4: Simplify right side
    95.13x = 10,065.89
  5. Step 5: Solve for x
    x = 10,065.89/95.13
  6. Step 6: Final answer
    x = 105.81

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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.