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Finding the Fourth Proportional to 17.31, 25.97 and 6.63

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Solution

The fourth proportional to 17.31, 25.97 and 6.63 is: 9.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.31 : 25.97 = 6.63 : x
  2. Step 2: Convert to fraction form
    17.31/25.97 = 6.63/x
  3. Step 3: Cross multiply
    17.31x = 25.97 × 6.63
  4. Step 4: Simplify right side
    17.31x = 172.18
  5. Step 5: Solve for x
    x = 172.18/17.31
  6. Step 6: Final answer
    x = 9.95

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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.