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Finding the Fourth Proportional to 22.39, 30.89 and 12.68

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Solution

The fourth proportional to 22.39, 30.89 and 12.68 is: 17.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.39 : 30.89 = 12.68 : x
  2. Step 2: Convert to fraction form
    22.39/30.89 = 12.68/x
  3. Step 3: Cross multiply
    22.39x = 30.89 × 12.68
  4. Step 4: Simplify right side
    22.39x = 391.70
  5. Step 5: Solve for x
    x = 391.70/22.39
  6. Step 6: Final answer
    x = 17.50

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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.