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Finding the Fourth Proportional to 11.94, 17.87 and 9.23

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Solution

The fourth proportional to 11.94, 17.87 and 9.23 is: 13.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.94 : 17.87 = 9.23 : x
  2. Step 2: Convert to fraction form
    11.94/17.87 = 9.23/x
  3. Step 3: Cross multiply
    11.94x = 17.87 × 9.23
  4. Step 4: Simplify right side
    11.94x = 164.85
  5. Step 5: Solve for x
    x = 164.85/11.94
  6. Step 6: Final answer
    x = 13.81

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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.