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Finding the Fourth Proportional to 13.97, 19.23 and 12.02

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Solution

The fourth proportional to 13.97, 19.23 and 12.02 is: 16.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.97 : 19.23 = 12.02 : x
  2. Step 2: Convert to fraction form
    13.97/19.23 = 12.02/x
  3. Step 3: Cross multiply
    13.97x = 19.23 × 12.02
  4. Step 4: Simplify right side
    13.97x = 231.14
  5. Step 5: Solve for x
    x = 231.14/13.97
  6. Step 6: Final answer
    x = 16.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.