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Finding the Fourth Proportional to 22.74, 34.07 and 18.91

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Solution

The fourth proportional to 22.74, 34.07 and 18.91 is: 28.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.74 : 34.07 = 18.91 : x
  2. Step 2: Convert to fraction form
    22.74/34.07 = 18.91/x
  3. Step 3: Cross multiply
    22.74x = 34.07 × 18.91
  4. Step 4: Simplify right side
    22.74x = 644.26
  5. Step 5: Solve for x
    x = 644.26/22.74
  6. Step 6: Final answer
    x = 28.33

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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.