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Finding the Fourth Proportional to 95.24, 142.32 and 72.16

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Solution

The fourth proportional to 95.24, 142.32 and 72.16 is: 107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.24 : 142.32 = 72.16 : x
  2. Step 2: Convert to fraction form
    95.24/142.32 = 72.16/x
  3. Step 3: Cross multiply
    95.24x = 142.32 × 72.16
  4. Step 4: Simplify right side
    95.24x = 10,269.73
  5. Step 5: Solve for x
    x = 10,269.73/95.24
  6. Step 6: Final answer
    x = 107.83

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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.