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Finding the Fourth Proportional to 27.69, 41.50 and 13.23

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Solution

The fourth proportional to 27.69, 41.50 and 13.23 is: 19.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.69 : 41.50 = 13.23 : x
  2. Step 2: Convert to fraction form
    27.69/41.50 = 13.23/x
  3. Step 3: Cross multiply
    27.69x = 41.50 × 13.23
  4. Step 4: Simplify right side
    27.69x = 548.98
  5. Step 5: Solve for x
    x = 548.98/27.69
  6. Step 6: Final answer
    x = 19.83

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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.