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Finding the Fourth Proportional to 26.78, 40.49 and 26.64

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Solution

The fourth proportional to 26.78, 40.49 and 26.64 is: 40.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.78 : 40.49 = 26.64 : x
  2. Step 2: Convert to fraction form
    26.78/40.49 = 26.64/x
  3. Step 3: Cross multiply
    26.78x = 40.49 × 26.64
  4. Step 4: Simplify right side
    26.78x = 1,078.65
  5. Step 5: Solve for x
    x = 1,078.65/26.78
  6. Step 6: Final answer
    x = 40.28

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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.