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Finding the Fourth Proportional to 33.19, 49.92 and 29.14

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Solution

The fourth proportional to 33.19, 49.92 and 29.14 is: 43.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.19 : 49.92 = 29.14 : x
  2. Step 2: Convert to fraction form
    33.19/49.92 = 29.14/x
  3. Step 3: Cross multiply
    33.19x = 49.92 × 29.14
  4. Step 4: Simplify right side
    33.19x = 1,454.67
  5. Step 5: Solve for x
    x = 1,454.67/33.19
  6. Step 6: Final answer
    x = 43.83

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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.