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Finding the Fourth Proportional to 41.13, 61.57 and 33.84

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Solution

The fourth proportional to 41.13, 61.57 and 33.84 is: 50.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.13 : 61.57 = 33.84 : x
  2. Step 2: Convert to fraction form
    41.13/61.57 = 33.84/x
  3. Step 3: Cross multiply
    41.13x = 61.57 × 33.84
  4. Step 4: Simplify right side
    41.13x = 2,083.53
  5. Step 5: Solve for x
    x = 2,083.53/41.13
  6. Step 6: Final answer
    x = 50.66

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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.