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Finding the Fourth Proportional to 20.32, 30.30 and 20.05

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Solution

The fourth proportional to 20.32, 30.30 and 20.05 is: 29.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.32 : 30.30 = 20.05 : x
  2. Step 2: Convert to fraction form
    20.32/30.30 = 20.05/x
  3. Step 3: Cross multiply
    20.32x = 30.30 × 20.05
  4. Step 4: Simplify right side
    20.32x = 607.44
  5. Step 5: Solve for x
    x = 607.44/20.32
  6. Step 6: Final answer
    x = 29.90

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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.