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Finding the Fourth Proportional to 13.23, 18.23 and 11.69

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Solution

The fourth proportional to 13.23, 18.23 and 11.69 is: 16.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.23 : 18.23 = 11.69 : x
  2. Step 2: Convert to fraction form
    13.23/18.23 = 11.69/x
  3. Step 3: Cross multiply
    13.23x = 18.23 × 11.69
  4. Step 4: Simplify right side
    13.23x = 213.02
  5. Step 5: Solve for x
    x = 213.02/13.23
  6. Step 6: Final answer
    x = 16.11

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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.