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Finding the Fourth Proportional to 26.01, 36.09 and 25.47

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Solution

The fourth proportional to 26.01, 36.09 and 25.47 is: 35.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.01 : 36.09 = 25.47 : x
  2. Step 2: Convert to fraction form
    26.01/36.09 = 25.47/x
  3. Step 3: Cross multiply
    26.01x = 36.09 × 25.47
  4. Step 4: Simplify right side
    26.01x = 919.21
  5. Step 5: Solve for x
    x = 919.21/26.01
  6. Step 6: Final answer
    x = 35.34

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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.