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Finding the Fourth Proportional to 11.41, 15.69 and 10.09

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Solution

The fourth proportional to 11.41, 15.69 and 10.09 is: 13.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.41 : 15.69 = 10.09 : x
  2. Step 2: Convert to fraction form
    11.41/15.69 = 10.09/x
  3. Step 3: Cross multiply
    11.41x = 15.69 × 10.09
  4. Step 4: Simplify right side
    11.41x = 158.37
  5. Step 5: Solve for x
    x = 158.37/11.41
  6. Step 6: Final answer
    x = 13.88

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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.