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Finding the Fourth Proportional to 18, 24.85 and 11.54

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Solution

The fourth proportional to 18, 24.85 and 11.54 is: 15.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18 : 24.85 = 11.54 : x
  2. Step 2: Convert to fraction form
    18/24.85 = 11.54/x
  3. Step 3: Cross multiply
    18x = 24.85 × 11.54
  4. Step 4: Simplify right side
    18x = 286.85
  5. Step 5: Solve for x
    x = 286.85/18
  6. Step 6: Final answer
    x = 15.94

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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.