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Finding the Fourth Proportional to 83.57, 115.31 and 59.09

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Solution

The fourth proportional to 83.57, 115.31 and 59.09 is: 81.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.57 : 115.31 = 59.09 : x
  2. Step 2: Convert to fraction form
    83.57/115.31 = 59.09/x
  3. Step 3: Cross multiply
    83.57x = 115.31 × 59.09
  4. Step 4: Simplify right side
    83.57x = 6,813.67
  5. Step 5: Solve for x
    x = 6,813.67/83.57
  6. Step 6: Final answer
    x = 81.53

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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.