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Finding the Fourth Proportional to 24.26, 33.44 and 22.82

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Solution

The fourth proportional to 24.26, 33.44 and 22.82 is: 31.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.26 : 33.44 = 22.82 : x
  2. Step 2: Convert to fraction form
    24.26/33.44 = 22.82/x
  3. Step 3: Cross multiply
    24.26x = 33.44 × 22.82
  4. Step 4: Simplify right side
    24.26x = 763.10
  5. Step 5: Solve for x
    x = 763.10/24.26
  6. Step 6: Final answer
    x = 31.46

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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.