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Finding the Fourth Proportional to 95.34, 142.97 and 26.85

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Solution

The fourth proportional to 95.34, 142.97 and 26.85 is: 40.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.34 : 142.97 = 26.85 : x
  2. Step 2: Convert to fraction form
    95.34/142.97 = 26.85/x
  3. Step 3: Cross multiply
    95.34x = 142.97 × 26.85
  4. Step 4: Simplify right side
    95.34x = 3,839.17
  5. Step 5: Solve for x
    x = 3,839.17/95.34
  6. Step 6: Final answer
    x = 40.27

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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.