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Finding the Fourth Proportional to 49.10, 67.76 and 27.27

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Solution

The fourth proportional to 49.10, 67.76 and 27.27 is: 37.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.10 : 67.76 = 27.27 : x
  2. Step 2: Convert to fraction form
    49.10/67.76 = 27.27/x
  3. Step 3: Cross multiply
    49.10x = 67.76 × 27.27
  4. Step 4: Simplify right side
    49.10x = 1,847.34
  5. Step 5: Solve for x
    x = 1,847.34/49.10
  6. Step 6: Final answer
    x = 37.62

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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.