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Finding the Fourth Proportional to 95.38, 131.49 and 83.62

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Solution

The fourth proportional to 95.38, 131.49 and 83.62 is: 115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.38 : 131.49 = 83.62 : x
  2. Step 2: Convert to fraction form
    95.38/131.49 = 83.62/x
  3. Step 3: Cross multiply
    95.38x = 131.49 × 83.62
  4. Step 4: Simplify right side
    95.38x = 10,995.19
  5. Step 5: Solve for x
    x = 10,995.19/95.38
  6. Step 6: Final answer
    x = 115.28

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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.