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Finding the Fourth Proportional to 83.74, 115.57 and 71.42

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Solution

The fourth proportional to 83.74, 115.57 and 71.42 is: 98.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.74 : 115.57 = 71.42 : x
  2. Step 2: Convert to fraction form
    83.74/115.57 = 71.42/x
  3. Step 3: Cross multiply
    83.74x = 115.57 × 71.42
  4. Step 4: Simplify right side
    83.74x = 8,254.01
  5. Step 5: Solve for x
    x = 8,254.01/83.74
  6. Step 6: Final answer
    x = 98.57

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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.