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Finding the Fourth Proportional to 83.47, 115.07 and 74.24

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Solution

The fourth proportional to 83.47, 115.07 and 74.24 is: 102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.47 : 115.07 = 74.24 : x
  2. Step 2: Convert to fraction form
    83.47/115.07 = 74.24/x
  3. Step 3: Cross multiply
    83.47x = 115.07 × 74.24
  4. Step 4: Simplify right side
    83.47x = 8,542.71
  5. Step 5: Solve for x
    x = 8,542.71/83.47
  6. Step 6: Final answer
    x = 102.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.