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Finding the Fourth Proportional to 41.42, 57.09 and 34.04

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Solution

The fourth proportional to 41.42, 57.09 and 34.04 is: 46.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.42 : 57.09 = 34.04 : x
  2. Step 2: Convert to fraction form
    41.42/57.09 = 34.04/x
  3. Step 3: Cross multiply
    41.42x = 57.09 × 34.04
  4. Step 4: Simplify right side
    41.42x = 1,943.06
  5. Step 5: Solve for x
    x = 1,943.06/41.42
  6. Step 6: Final answer
    x = 46.92

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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.