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Finding the Fourth Proportional to 22.74, 34.05 and 12.57

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Solution

The fourth proportional to 22.74, 34.05 and 12.57 is: 18.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.74 : 34.05 = 12.57 : x
  2. Step 2: Convert to fraction form
    22.74/34.05 = 12.57/x
  3. Step 3: Cross multiply
    22.74x = 34.05 × 12.57
  4. Step 4: Simplify right side
    22.74x = 428.01
  5. Step 5: Solve for x
    x = 428.01/22.74
  6. Step 6: Final answer
    x = 18.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.