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Finding the Fourth Proportional to 26.96, 36.97 and 25.88

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Solution

The fourth proportional to 26.96, 36.97 and 25.88 is: 35.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.96 : 36.97 = 25.88 : x
  2. Step 2: Convert to fraction form
    26.96/36.97 = 25.88/x
  3. Step 3: Cross multiply
    26.96x = 36.97 × 25.88
  4. Step 4: Simplify right side
    26.96x = 956.78
  5. Step 5: Solve for x
    x = 956.78/26.96
  6. Step 6: Final answer
    x = 35.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.