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Finding the Fourth Proportional to 29.31, 43.89 and 24.22

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Solution

The fourth proportional to 29.31, 43.89 and 24.22 is: 36.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.31 : 43.89 = 24.22 : x
  2. Step 2: Convert to fraction form
    29.31/43.89 = 24.22/x
  3. Step 3: Cross multiply
    29.31x = 43.89 × 24.22
  4. Step 4: Simplify right side
    29.31x = 1,063.02
  5. Step 5: Solve for x
    x = 1,063.02/29.31
  6. Step 6: Final answer
    x = 36.27

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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.