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Finding the Fourth Proportional to 20.20, 30.16 and 18.44

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Solution

The fourth proportional to 20.20, 30.16 and 18.44 is: 27.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.20 : 30.16 = 18.44 : x
  2. Step 2: Convert to fraction form
    20.20/30.16 = 18.44/x
  3. Step 3: Cross multiply
    20.20x = 30.16 × 18.44
  4. Step 4: Simplify right side
    20.20x = 556.15
  5. Step 5: Solve for x
    x = 556.15/20.20
  6. Step 6: Final answer
    x = 27.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.