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Finding the Fourth Proportional to 24.35, 33.73 and 22.89

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Solution

The fourth proportional to 24.35, 33.73 and 22.89 is: 31.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.35 : 33.73 = 22.89 : x
  2. Step 2: Convert to fraction form
    24.35/33.73 = 22.89/x
  3. Step 3: Cross multiply
    24.35x = 33.73 × 22.89
  4. Step 4: Simplify right side
    24.35x = 772.08
  5. Step 5: Solve for x
    x = 772.08/24.35
  6. Step 6: Final answer
    x = 31.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.