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Finding the Fourth Proportional to 20.67, 31.04 and 12.12

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Solution

The fourth proportional to 20.67, 31.04 and 12.12 is: 18.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.67 : 31.04 = 12.12 : x
  2. Step 2: Convert to fraction form
    20.67/31.04 = 12.12/x
  3. Step 3: Cross multiply
    20.67x = 31.04 × 12.12
  4. Step 4: Simplify right side
    20.67x = 376.14
  5. Step 5: Solve for x
    x = 376.14/20.67
  6. Step 6: Final answer
    x = 18.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.