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Finding the Fourth Proportional to 49.23, 67.94 and 27.40

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Solution

The fourth proportional to 49.23, 67.94 and 27.40 is: 37.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.23 : 67.94 = 27.40 : x
  2. Step 2: Convert to fraction form
    49.23/67.94 = 27.40/x
  3. Step 3: Cross multiply
    49.23x = 67.94 × 27.40
  4. Step 4: Simplify right side
    49.23x = 1,861.48
  5. Step 5: Solve for x
    x = 1,861.48/49.23
  6. Step 6: Final answer
    x = 37.81

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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.