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Finding the Fourth Proportional to 21.20, 31.84 and 20.05

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Solution

The fourth proportional to 21.20, 31.84 and 20.05 is: 30.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.20 : 31.84 = 20.05 : x
  2. Step 2: Convert to fraction form
    21.20/31.84 = 20.05/x
  3. Step 3: Cross multiply
    21.20x = 31.84 × 20.05
  4. Step 4: Simplify right side
    21.20x = 638.26
  5. Step 5: Solve for x
    x = 638.26/21.20
  6. Step 6: Final answer
    x = 30.11

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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.