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Finding the Fourth Proportional to 26.05, 36.19 and 25.80

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Solution

The fourth proportional to 26.05, 36.19 and 25.80 is: 35.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.05 : 36.19 = 25.80 : x
  2. Step 2: Convert to fraction form
    26.05/36.19 = 25.80/x
  3. Step 3: Cross multiply
    26.05x = 36.19 × 25.80
  4. Step 4: Simplify right side
    26.05x = 933.70
  5. Step 5: Solve for x
    x = 933.70/26.05
  6. Step 6: Final answer
    x = 35.84

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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.