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Finding the Fourth Proportional to 41.42, 57.20 and 34.13

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Solution

The fourth proportional to 41.42, 57.20 and 34.13 is: 47.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.42 : 57.20 = 34.13 : x
  2. Step 2: Convert to fraction form
    41.42/57.20 = 34.13/x
  3. Step 3: Cross multiply
    41.42x = 57.20 × 34.13
  4. Step 4: Simplify right side
    41.42x = 1,952.24
  5. Step 5: Solve for x
    x = 1,952.24/41.42
  6. Step 6: Final answer
    x = 47.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.