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Finding the Fourth Proportional to 95.72, 142.76 and 87.60

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Solution

The fourth proportional to 95.72, 142.76 and 87.60 is: 130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.72 : 142.76 = 87.60 : x
  2. Step 2: Convert to fraction form
    95.72/142.76 = 87.60/x
  3. Step 3: Cross multiply
    95.72x = 142.76 × 87.60
  4. Step 4: Simplify right side
    95.72x = 12,505.78
  5. Step 5: Solve for x
    x = 12,505.78/95.72
  6. Step 6: Final answer
    x = 130.65

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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.