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Finding the Fourth Proportional to 41.62, 57.38 and 34.34

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Solution

The fourth proportional to 41.62, 57.38 and 34.34 is: 47.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.62 : 57.38 = 34.34 : x
  2. Step 2: Convert to fraction form
    41.62/57.38 = 34.34/x
  3. Step 3: Cross multiply
    41.62x = 57.38 × 34.34
  4. Step 4: Simplify right side
    41.62x = 1,970.43
  5. Step 5: Solve for x
    x = 1,970.43/41.62
  6. Step 6: Final answer
    x = 47.34

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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.