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Finding the Fourth Proportional to 26.75, 40.13 and 7.75

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Solution

The fourth proportional to 26.75, 40.13 and 7.75 is: 11.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.75 : 40.13 = 7.75 : x
  2. Step 2: Convert to fraction form
    26.75/40.13 = 7.75/x
  3. Step 3: Cross multiply
    26.75x = 40.13 × 7.75
  4. Step 4: Simplify right side
    26.75x = 310.97
  5. Step 5: Solve for x
    x = 310.97/26.75
  6. Step 6: Final answer
    x = 11.63

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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.