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Finding the Fourth Proportional to 82.98, 124.40 and 31.61

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Solution

The fourth proportional to 82.98, 124.40 and 31.61 is: 47.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.98 : 124.40 = 31.61 : x
  2. Step 2: Convert to fraction form
    82.98/124.40 = 31.61/x
  3. Step 3: Cross multiply
    82.98x = 124.40 × 31.61
  4. Step 4: Simplify right side
    82.98x = 3,932.67
  5. Step 5: Solve for x
    x = 3,932.67/82.98
  6. Step 6: Final answer
    x = 47.39

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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.