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Finding the Fourth Proportional to 22.24, 30.64 and 20.20

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Solution

The fourth proportional to 22.24, 30.64 and 20.20 is: 27.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.24 : 30.64 = 20.20 : x
  2. Step 2: Convert to fraction form
    22.24/30.64 = 20.20/x
  3. Step 3: Cross multiply
    22.24x = 30.64 × 20.20
  4. Step 4: Simplify right side
    22.24x = 618.93
  5. Step 5: Solve for x
    x = 618.93/22.24
  6. Step 6: Final answer
    x = 27.83

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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.