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Finding the Fourth Proportional to 49.11, 67.75 and 30.71

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Solution

The fourth proportional to 49.11, 67.75 and 30.71 is: 42.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.11 : 67.75 = 30.71 : x
  2. Step 2: Convert to fraction form
    49.11/67.75 = 30.71/x
  3. Step 3: Cross multiply
    49.11x = 67.75 × 30.71
  4. Step 4: Simplify right side
    49.11x = 2,080.87
  5. Step 5: Solve for x
    x = 2,080.87/49.11
  6. Step 6: Final answer
    x = 42.37

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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.