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Finding the Fourth Proportional to 20.23, 30.34 and 8.20

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Solution

The fourth proportional to 20.23, 30.34 and 8.20 is: 12.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.23 : 30.34 = 8.20 : x
  2. Step 2: Convert to fraction form
    20.23/30.34 = 8.20/x
  3. Step 3: Cross multiply
    20.23x = 30.34 × 8.20
  4. Step 4: Simplify right side
    20.23x = 248.88
  5. Step 5: Solve for x
    x = 248.88/20.23
  6. Step 6: Final answer
    x = 12.30

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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.