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Finding the Fourth Proportional to 82.98, 124.46 and 31.61

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Solution

The fourth proportional to 82.98, 124.46 and 31.61 is: 47.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.98 : 124.46 = 31.61 : x
  2. Step 2: Convert to fraction form
    82.98/124.46 = 31.61/x
  3. Step 3: Cross multiply
    82.98x = 124.46 × 31.61
  4. Step 4: Simplify right side
    82.98x = 3,933.56
  5. Step 5: Solve for x
    x = 3,933.56/82.98
  6. Step 6: Final answer
    x = 47.41

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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.