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Finding the Fourth Proportional to 83.85, 125.80 and 26.09

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Solution

The fourth proportional to 83.85, 125.80 and 26.09 is: 39.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.85 : 125.80 = 26.09 : x
  2. Step 2: Convert to fraction form
    83.85/125.80 = 26.09/x
  3. Step 3: Cross multiply
    83.85x = 125.80 × 26.09
  4. Step 4: Simplify right side
    83.85x = 3,281.90
  5. Step 5: Solve for x
    x = 3,281.90/83.85
  6. Step 6: Final answer
    x = 39.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.