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Finding the Fourth Proportional to 83.67, 115.41 and 52.59

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Solution

The fourth proportional to 83.67, 115.41 and 52.59 is: 72.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.67 : 115.41 = 52.59 : x
  2. Step 2: Convert to fraction form
    83.67/115.41 = 52.59/x
  3. Step 3: Cross multiply
    83.67x = 115.41 × 52.59
  4. Step 4: Simplify right side
    83.67x = 6,069.41
  5. Step 5: Solve for x
    x = 6,069.41/83.67
  6. Step 6: Final answer
    x = 72.54

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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.