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Finding the Fourth Proportional to 49.12, 67.82 and 30.73

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Solution

The fourth proportional to 49.12, 67.82 and 30.73 is: 42.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.12 : 67.82 = 30.73 : x
  2. Step 2: Convert to fraction form
    49.12/67.82 = 30.73/x
  3. Step 3: Cross multiply
    49.12x = 67.82 × 30.73
  4. Step 4: Simplify right side
    49.12x = 2,083.62
  5. Step 5: Solve for x
    x = 2,083.62/49.12
  6. Step 6: Final answer
    x = 42.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.