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Finding the Fourth Proportional to 33.41, 50.14 and 13.14

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Solution

The fourth proportional to 33.41, 50.14 and 13.14 is: 19.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.41 : 50.14 = 13.14 : x
  2. Step 2: Convert to fraction form
    33.41/50.14 = 13.14/x
  3. Step 3: Cross multiply
    33.41x = 50.14 × 13.14
  4. Step 4: Simplify right side
    33.41x = 658.75
  5. Step 5: Solve for x
    x = 658.75/33.41
  6. Step 6: Final answer
    x = 19.72

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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.