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Finding the Fourth Proportional to 33.41, 50.09 and 29.15

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Solution

The fourth proportional to 33.41, 50.09 and 29.15 is: 43.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.41 : 50.09 = 29.15 : x
  2. Step 2: Convert to fraction form
    33.41/50.09 = 29.15/x
  3. Step 3: Cross multiply
    33.41x = 50.09 × 29.15
  4. Step 4: Simplify right side
    33.41x = 1,460.02
  5. Step 5: Solve for x
    x = 1,460.02/33.41
  6. Step 6: Final answer
    x = 43.71

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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.