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Finding the Fourth Proportional to 24.02, 32.97 and 22.20

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Solution

The fourth proportional to 24.02, 32.97 and 22.20 is: 30.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.02 : 32.97 = 22.20 : x
  2. Step 2: Convert to fraction form
    24.02/32.97 = 22.20/x
  3. Step 3: Cross multiply
    24.02x = 32.97 × 22.20
  4. Step 4: Simplify right side
    24.02x = 731.93
  5. Step 5: Solve for x
    x = 731.93/24.02
  6. Step 6: Final answer
    x = 30.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.