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Finding the Fourth Proportional to 27.69, 41.33 and 20.91

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Solution

The fourth proportional to 27.69, 41.33 and 20.91 is: 31.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.69 : 41.33 = 20.91 : x
  2. Step 2: Convert to fraction form
    27.69/41.33 = 20.91/x
  3. Step 3: Cross multiply
    27.69x = 41.33 × 20.91
  4. Step 4: Simplify right side
    27.69x = 864.11
  5. Step 5: Solve for x
    x = 864.11/27.69
  6. Step 6: Final answer
    x = 31.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.