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Finding the Fourth Proportional to 17.31, 25.96 and 5.89

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Solution

The fourth proportional to 17.31, 25.96 and 5.89 is: 8.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.31 : 25.96 = 5.89 : x
  2. Step 2: Convert to fraction form
    17.31/25.96 = 5.89/x
  3. Step 3: Cross multiply
    17.31x = 25.96 × 5.89
  4. Step 4: Simplify right side
    17.31x = 152.87
  5. Step 5: Solve for x
    x = 152.87/17.31
  6. Step 6: Final answer
    x = 8.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.