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Finding the Fourth Proportional to 81.98, 123.18 and 49.94

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Solution

The fourth proportional to 81.98, 123.18 and 49.94 is: 75.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.98 : 123.18 = 49.94 : x
  2. Step 2: Convert to fraction form
    81.98/123.18 = 49.94/x
  3. Step 3: Cross multiply
    81.98x = 123.18 × 49.94
  4. Step 4: Simplify right side
    81.98x = 6,151.61
  5. Step 5: Solve for x
    x = 6,151.61/81.98
  6. Step 6: Final answer
    x = 75.04

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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.