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Finding the Fourth Proportional to 26.39, 36.23 and 24.86

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Solution

The fourth proportional to 26.39, 36.23 and 24.86 is: 34.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.39 : 36.23 = 24.86 : x
  2. Step 2: Convert to fraction form
    26.39/36.23 = 24.86/x
  3. Step 3: Cross multiply
    26.39x = 36.23 × 24.86
  4. Step 4: Simplify right side
    26.39x = 900.64
  5. Step 5: Solve for x
    x = 900.64/26.39
  6. Step 6: Final answer
    x = 34.13

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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.