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Finding the Fourth Proportional to 24.39, 33.71 and 22.59

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Solution

The fourth proportional to 24.39, 33.71 and 22.59 is: 31.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.39 : 33.71 = 22.59 : x
  2. Step 2: Convert to fraction form
    24.39/33.71 = 22.59/x
  3. Step 3: Cross multiply
    24.39x = 33.71 × 22.59
  4. Step 4: Simplify right side
    24.39x = 761.40
  5. Step 5: Solve for x
    x = 761.40/24.39
  6. Step 6: Final answer
    x = 31.22

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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.