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Finding the Fourth Proportional to 12.97, 19.36 and 12.12

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Solution

The fourth proportional to 12.97, 19.36 and 12.12 is: 18.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.97 : 19.36 = 12.12 : x
  2. Step 2: Convert to fraction form
    12.97/19.36 = 12.12/x
  3. Step 3: Cross multiply
    12.97x = 19.36 × 12.12
  4. Step 4: Simplify right side
    12.97x = 234.56
  5. Step 5: Solve for x
    x = 234.56/12.97
  6. Step 6: Final answer
    x = 18.08

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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.