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Finding the Fourth Proportional to 17.31, 25.86 and 16.25

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Solution

The fourth proportional to 17.31, 25.86 and 16.25 is: 24.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.31 : 25.86 = 16.25 : x
  2. Step 2: Convert to fraction form
    17.31/25.86 = 16.25/x
  3. Step 3: Cross multiply
    17.31x = 25.86 × 16.25
  4. Step 4: Simplify right side
    17.31x = 420.19
  5. Step 5: Solve for x
    x = 420.19/17.31
  6. Step 6: Final answer
    x = 24.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.