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Finding the Fourth Proportional to 17.38, 23.99 and 10.11

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Solution

The fourth proportional to 17.38, 23.99 and 10.11 is: 13.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.38 : 23.99 = 10.11 : x
  2. Step 2: Convert to fraction form
    17.38/23.99 = 10.11/x
  3. Step 3: Cross multiply
    17.38x = 23.99 × 10.11
  4. Step 4: Simplify right side
    17.38x = 242.54
  5. Step 5: Solve for x
    x = 242.54/17.38
  6. Step 6: Final answer
    x = 13.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.