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Finding the Fourth Proportional to 83.71, 115.42 and 75.94

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Solution

The fourth proportional to 83.71, 115.42 and 75.94 is: 104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.71 : 115.42 = 75.94 : x
  2. Step 2: Convert to fraction form
    83.71/115.42 = 75.94/x
  3. Step 3: Cross multiply
    83.71x = 115.42 × 75.94
  4. Step 4: Simplify right side
    83.71x = 8,764.99
  5. Step 5: Solve for x
    x = 8,764.99/83.71
  6. Step 6: Final answer
    x = 104.71

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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.