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Finding the Fourth Proportional to 11.96, 17.72 and 11.89

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Solution

The fourth proportional to 11.96, 17.72 and 11.89 is: 17.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.96 : 17.72 = 11.89 : x
  2. Step 2: Convert to fraction form
    11.96/17.72 = 11.89/x
  3. Step 3: Cross multiply
    11.96x = 17.72 × 11.89
  4. Step 4: Simplify right side
    11.96x = 210.59
  5. Step 5: Solve for x
    x = 210.59/11.96
  6. Step 6: Final answer
    x = 17.61

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.