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Finding the Fourth Proportional to 41.71, 57.56 and 23.29

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Solution

The fourth proportional to 41.71, 57.56 and 23.29 is: 32.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.71 : 57.56 = 23.29 : x
  2. Step 2: Convert to fraction form
    41.71/57.56 = 23.29/x
  3. Step 3: Cross multiply
    41.71x = 57.56 × 23.29
  4. Step 4: Simplify right side
    41.71x = 1,340.70
  5. Step 5: Solve for x
    x = 1,340.70/41.71
  6. Step 6: Final answer
    x = 32.14

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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.