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Finding the Fourth Proportional to 131.20, 196.89 and 95.14

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Solution

The fourth proportional to 131.20, 196.89 and 95.14 is: 142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.20 : 196.89 = 95.14 : x
  2. Step 2: Convert to fraction form
    131.20/196.89 = 95.14/x
  3. Step 3: Cross multiply
    131.20x = 196.89 × 95.14
  4. Step 4: Simplify right side
    131.20x = 18,732.11
  5. Step 5: Solve for x
    x = 18,732.11/131.20
  6. Step 6: Final answer
    x = 142.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.