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Finding the Fourth Proportional to 27.34, 40.82 and 23.92

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Solution

The fourth proportional to 27.34, 40.82 and 23.92 is: 35.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.34 : 40.82 = 23.92 : x
  2. Step 2: Convert to fraction form
    27.34/40.82 = 23.92/x
  3. Step 3: Cross multiply
    27.34x = 40.82 × 23.92
  4. Step 4: Simplify right side
    27.34x = 976.21
  5. Step 5: Solve for x
    x = 976.21/27.34
  6. Step 6: Final answer
    x = 35.71

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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.