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Finding the Fourth Proportional to 28.71, 43.17 and 24.66

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Solution

The fourth proportional to 28.71, 43.17 and 24.66 is: 37.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.71 : 43.17 = 24.66 : x
  2. Step 2: Convert to fraction form
    28.71/43.17 = 24.66/x
  3. Step 3: Cross multiply
    28.71x = 43.17 × 24.66
  4. Step 4: Simplify right side
    28.71x = 1,064.57
  5. Step 5: Solve for x
    x = 1,064.57/28.71
  6. Step 6: Final answer
    x = 37.08

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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.