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Finding the Fourth Proportional to 29.27, 43.72 and 24.71

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Solution

The fourth proportional to 29.27, 43.72 and 24.71 is: 36.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.27 : 43.72 = 24.71 : x
  2. Step 2: Convert to fraction form
    29.27/43.72 = 24.71/x
  3. Step 3: Cross multiply
    29.27x = 43.72 × 24.71
  4. Step 4: Simplify right side
    29.27x = 1,080.20
  5. Step 5: Solve for x
    x = 1,080.20/29.27
  6. Step 6: Final answer
    x = 36.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.