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Finding the Fourth Proportional to 83.62, 115.41 and 50.87

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Solution

The fourth proportional to 83.62, 115.41 and 50.87 is: 70.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.62 : 115.41 = 50.87 : x
  2. Step 2: Convert to fraction form
    83.62/115.41 = 50.87/x
  3. Step 3: Cross multiply
    83.62x = 115.41 × 50.87
  4. Step 4: Simplify right side
    83.62x = 5,870.91
  5. Step 5: Solve for x
    x = 5,870.91/83.62
  6. Step 6: Final answer
    x = 70.21

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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.