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Finding the Fourth Proportional to 29.73, 44.49 and 20.69

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Solution

The fourth proportional to 29.73, 44.49 and 20.69 is: 30.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.73 : 44.49 = 20.69 : x
  2. Step 2: Convert to fraction form
    29.73/44.49 = 20.69/x
  3. Step 3: Cross multiply
    29.73x = 44.49 × 20.69
  4. Step 4: Simplify right side
    29.73x = 920.28
  5. Step 5: Solve for x
    x = 920.28/29.73
  6. Step 6: Final answer
    x = 30.95

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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.