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Finding the Fourth Proportional to 26.62, 40.16 and 25.78

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Solution

The fourth proportional to 26.62, 40.16 and 25.78 is: 38.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.62 : 40.16 = 25.78 : x
  2. Step 2: Convert to fraction form
    26.62/40.16 = 25.78/x
  3. Step 3: Cross multiply
    26.62x = 40.16 × 25.78
  4. Step 4: Simplify right side
    26.62x = 1,035.32
  5. Step 5: Solve for x
    x = 1,035.32/26.62
  6. Step 6: Final answer
    x = 38.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.