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Finding the Fourth Proportional to 13.94, 20.81 and 12.23

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Solution

The fourth proportional to 13.94, 20.81 and 12.23 is: 18.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.94 : 20.81 = 12.23 : x
  2. Step 2: Convert to fraction form
    13.94/20.81 = 12.23/x
  3. Step 3: Cross multiply
    13.94x = 20.81 × 12.23
  4. Step 4: Simplify right side
    13.94x = 254.51
  5. Step 5: Solve for x
    x = 254.51/13.94
  6. Step 6: Final answer
    x = 18.26

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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.