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Finding the Fourth Proportional to 27.67, 41.50 and 23.89

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Solution

The fourth proportional to 27.67, 41.50 and 23.89 is: 35.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.67 : 41.50 = 23.89 : x
  2. Step 2: Convert to fraction form
    27.67/41.50 = 23.89/x
  3. Step 3: Cross multiply
    27.67x = 41.50 × 23.89
  4. Step 4: Simplify right side
    27.67x = 991.44
  5. Step 5: Solve for x
    x = 991.44/27.67
  6. Step 6: Final answer
    x = 35.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.