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Finding the Fourth Proportional to 17.31, 23.89 and 10.04

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Solution

The fourth proportional to 17.31, 23.89 and 10.04 is: 13.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.31 : 23.89 = 10.04 : x
  2. Step 2: Convert to fraction form
    17.31/23.89 = 10.04/x
  3. Step 3: Cross multiply
    17.31x = 23.89 × 10.04
  4. Step 4: Simplify right side
    17.31x = 239.86
  5. Step 5: Solve for x
    x = 239.86/17.31
  6. Step 6: Final answer
    x = 13.86

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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.