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Finding the Fourth Proportional to 26.09, 36.16 and 24.77

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Solution

The fourth proportional to 26.09, 36.16 and 24.77 is: 34.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.09 : 36.16 = 24.77 : x
  2. Step 2: Convert to fraction form
    26.09/36.16 = 24.77/x
  3. Step 3: Cross multiply
    26.09x = 36.16 × 24.77
  4. Step 4: Simplify right side
    26.09x = 895.44
  5. Step 5: Solve for x
    x = 895.44/26.09
  6. Step 6: Final answer
    x = 34.33

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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.