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Finding the Fourth Proportional to 22.01, 32.79 and 19.97

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Solution

The fourth proportional to 22.01, 32.79 and 19.97 is: 29.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.01 : 32.79 = 19.97 : x
  2. Step 2: Convert to fraction form
    22.01/32.79 = 19.97/x
  3. Step 3: Cross multiply
    22.01x = 32.79 × 19.97
  4. Step 4: Simplify right side
    22.01x = 654.72
  5. Step 5: Solve for x
    x = 654.72/22.01
  6. Step 6: Final answer
    x = 29.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.