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Finding the Fourth Proportional to 41.91, 57.84 and 23.49

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Solution

The fourth proportional to 41.91, 57.84 and 23.49 is: 32.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.91 : 57.84 = 23.49 : x
  2. Step 2: Convert to fraction form
    41.91/57.84 = 23.49/x
  3. Step 3: Cross multiply
    41.91x = 57.84 × 23.49
  4. Step 4: Simplify right side
    41.91x = 1,358.57
  5. Step 5: Solve for x
    x = 1,358.57/41.91
  6. Step 6: Final answer
    x = 32.42

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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.