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Finding the Fourth Proportional to 41.32, 61.83 and 34.11

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Solution

The fourth proportional to 41.32, 61.83 and 34.11 is: 51.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.32 : 61.83 = 34.11 : x
  2. Step 2: Convert to fraction form
    41.32/61.83 = 34.11/x
  3. Step 3: Cross multiply
    41.32x = 61.83 × 34.11
  4. Step 4: Simplify right side
    41.32x = 2,109.02
  5. Step 5: Solve for x
    x = 2,109.02/41.32
  6. Step 6: Final answer
    x = 51.04

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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.