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Finding the Fourth Proportional to 49.14, 67.77 and 31.92

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Solution

The fourth proportional to 49.14, 67.77 and 31.92 is: 44.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.14 : 67.77 = 31.92 : x
  2. Step 2: Convert to fraction form
    49.14/67.77 = 31.92/x
  3. Step 3: Cross multiply
    49.14x = 67.77 × 31.92
  4. Step 4: Simplify right side
    49.14x = 2,163.22
  5. Step 5: Solve for x
    x = 2,163.22/49.14
  6. Step 6: Final answer
    x = 44.02

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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.