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Finding the Fourth Proportional to 26.40, 36.62 and 25.86

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Solution

The fourth proportional to 26.40, 36.62 and 25.86 is: 35.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.40 : 36.62 = 25.86 : x
  2. Step 2: Convert to fraction form
    26.40/36.62 = 25.86/x
  3. Step 3: Cross multiply
    26.40x = 36.62 × 25.86
  4. Step 4: Simplify right side
    26.40x = 946.86
  5. Step 5: Solve for x
    x = 946.86/26.40
  6. Step 6: Final answer
    x = 35.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.