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Finding the Fourth Proportional to 28.14, 42.24 and 12.12

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Solution

The fourth proportional to 28.14, 42.24 and 12.12 is: 18.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.14 : 42.24 = 12.12 : x
  2. Step 2: Convert to fraction form
    28.14/42.24 = 12.12/x
  3. Step 3: Cross multiply
    28.14x = 42.24 × 12.12
  4. Step 4: Simplify right side
    28.14x = 511.95
  5. Step 5: Solve for x
    x = 511.95/28.14
  6. Step 6: Final answer
    x = 18.19

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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.