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Finding the Fourth Proportional to 24.13, 33.20 and 22.51

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Solution

The fourth proportional to 24.13, 33.20 and 22.51 is: 30.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.13 : 33.20 = 22.51 : x
  2. Step 2: Convert to fraction form
    24.13/33.20 = 22.51/x
  3. Step 3: Cross multiply
    24.13x = 33.20 × 22.51
  4. Step 4: Simplify right side
    24.13x = 747.33
  5. Step 5: Solve for x
    x = 747.33/24.13
  6. Step 6: Final answer
    x = 30.97

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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.