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Finding the Fourth Proportional to 95.16, 142.34 and 60.74

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Solution

The fourth proportional to 95.16, 142.34 and 60.74 is: 90.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.16 : 142.34 = 60.74 : x
  2. Step 2: Convert to fraction form
    95.16/142.34 = 60.74/x
  3. Step 3: Cross multiply
    95.16x = 142.34 × 60.74
  4. Step 4: Simplify right side
    95.16x = 8,645.73
  5. Step 5: Solve for x
    x = 8,645.73/95.16
  6. Step 6: Final answer
    x = 90.85

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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.