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Finding the Fourth Proportional to 22.20, 30.54 and 20.66

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Solution

The fourth proportional to 22.20, 30.54 and 20.66 is: 28.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.20 : 30.54 = 20.66 : x
  2. Step 2: Convert to fraction form
    22.20/30.54 = 20.66/x
  3. Step 3: Cross multiply
    22.20x = 30.54 × 20.66
  4. Step 4: Simplify right side
    22.20x = 630.96
  5. Step 5: Solve for x
    x = 630.96/22.20
  6. Step 6: Final answer
    x = 28.42

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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.