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Finding the Fourth Proportional to 20.22, 30.32 and 16.20

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Solution

The fourth proportional to 20.22, 30.32 and 16.20 is: 24.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.22 : 30.32 = 16.20 : x
  2. Step 2: Convert to fraction form
    20.22/30.32 = 16.20/x
  3. Step 3: Cross multiply
    20.22x = 30.32 × 16.20
  4. Step 4: Simplify right side
    20.22x = 491.18
  5. Step 5: Solve for x
    x = 491.18/20.22
  6. Step 6: Final answer
    x = 24.29

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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.