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Finding the Fourth Proportional to 17.00, 25.48 and 7.86

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Solution

The fourth proportional to 17.00, 25.48 and 7.86 is: 11.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.00 : 25.48 = 7.86 : x
  2. Step 2: Convert to fraction form
    17.00/25.48 = 7.86/x
  3. Step 3: Cross multiply
    17.00x = 25.48 × 7.86
  4. Step 4: Simplify right side
    17.00x = 200.23
  5. Step 5: Solve for x
    x = 200.23/17.00
  6. Step 6: Final answer
    x = 11.78

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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.