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Finding the Fourth Proportional to 83.31, 124.97 and 26.31

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Solution

The fourth proportional to 83.31, 124.97 and 26.31 is: 39.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.31 : 124.97 = 26.31 : x
  2. Step 2: Convert to fraction form
    83.31/124.97 = 26.31/x
  3. Step 3: Cross multiply
    83.31x = 124.97 × 26.31
  4. Step 4: Simplify right side
    83.31x = 3,288.24
  5. Step 5: Solve for x
    x = 3,288.24/83.31
  6. Step 6: Final answer
    x = 39.47

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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.