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Finding the Fourth Proportional to 26.23, 35.96 and 25.77

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Solution

The fourth proportional to 26.23, 35.96 and 25.77 is: 35.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.23 : 35.96 = 25.77 : x
  2. Step 2: Convert to fraction form
    26.23/35.96 = 25.77/x
  3. Step 3: Cross multiply
    26.23x = 35.96 × 25.77
  4. Step 4: Simplify right side
    26.23x = 926.69
  5. Step 5: Solve for x
    x = 926.69/26.23
  6. Step 6: Final answer
    x = 35.33

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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.