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Finding the Fourth Proportional to 8.29, 12.41 and 5.71

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Solution

The fourth proportional to 8.29, 12.41 and 5.71 is: 8.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.29 : 12.41 = 5.71 : x
  2. Step 2: Convert to fraction form
    8.29/12.41 = 5.71/x
  3. Step 3: Cross multiply
    8.29x = 12.41 × 5.71
  4. Step 4: Simplify right side
    8.29x = 70.86
  5. Step 5: Solve for x
    x = 70.86/8.29
  6. Step 6: Final answer
    x = 8.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.