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Finding the Fourth Proportional to 20.80, 31.34 and 20.30

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Solution

The fourth proportional to 20.80, 31.34 and 20.30 is: 30.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.80 : 31.34 = 20.30 : x
  2. Step 2: Convert to fraction form
    20.80/31.34 = 20.30/x
  3. Step 3: Cross multiply
    20.80x = 31.34 × 20.30
  4. Step 4: Simplify right side
    20.80x = 636.20
  5. Step 5: Solve for x
    x = 636.20/20.80
  6. Step 6: Final answer
    x = 30.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.