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Finding the Fourth Proportional to 41.96, 63.06 and 34.04

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Solution

The fourth proportional to 41.96, 63.06 and 34.04 is: 51.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.96 : 63.06 = 34.04 : x
  2. Step 2: Convert to fraction form
    41.96/63.06 = 34.04/x
  3. Step 3: Cross multiply
    41.96x = 63.06 × 34.04
  4. Step 4: Simplify right side
    41.96x = 2,146.56
  5. Step 5: Solve for x
    x = 2,146.56/41.96
  6. Step 6: Final answer
    x = 51.16

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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.