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Finding the Fourth Proportional to 11.85, 17.74 and 11.19

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Solution

The fourth proportional to 11.85, 17.74 and 11.19 is: 16.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.85 : 17.74 = 11.19 : x
  2. Step 2: Convert to fraction form
    11.85/17.74 = 11.19/x
  3. Step 3: Cross multiply
    11.85x = 17.74 × 11.19
  4. Step 4: Simplify right side
    11.85x = 198.51
  5. Step 5: Solve for x
    x = 198.51/11.85
  6. Step 6: Final answer
    x = 16.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.