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Finding the Fourth Proportional to 24.14, 33.31 and 13.22

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Solution

The fourth proportional to 24.14, 33.31 and 13.22 is: 18.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.14 : 33.31 = 13.22 : x
  2. Step 2: Convert to fraction form
    24.14/33.31 = 13.22/x
  3. Step 3: Cross multiply
    24.14x = 33.31 × 13.22
  4. Step 4: Simplify right side
    24.14x = 440.56
  5. Step 5: Solve for x
    x = 440.56/24.14
  6. Step 6: Final answer
    x = 18.25

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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.