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Finding the Fourth Proportional to 95.34, 142.17 and 80.22

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Solution

The fourth proportional to 95.34, 142.17 and 80.22 is: 119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.34 : 142.17 = 80.22 : x
  2. Step 2: Convert to fraction form
    95.34/142.17 = 80.22/x
  3. Step 3: Cross multiply
    95.34x = 142.17 × 80.22
  4. Step 4: Simplify right side
    95.34x = 11,404.88
  5. Step 5: Solve for x
    x = 11,404.88/95.34
  6. Step 6: Final answer
    x = 119.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.