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Finding the Fourth Proportional to 26.83, 36.97 and 23.14

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Solution

The fourth proportional to 26.83, 36.97 and 23.14 is: 31.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.83 : 36.97 = 23.14 : x
  2. Step 2: Convert to fraction form
    26.83/36.97 = 23.14/x
  3. Step 3: Cross multiply
    26.83x = 36.97 × 23.14
  4. Step 4: Simplify right side
    26.83x = 855.49
  5. Step 5: Solve for x
    x = 855.49/26.83
  6. Step 6: Final answer
    x = 31.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.