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Finding the Fourth Proportional to 49.13, 67.39 and 46.19

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Solution

The fourth proportional to 49.13, 67.39 and 46.19 is: 63.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.13 : 67.39 = 46.19 : x
  2. Step 2: Convert to fraction form
    49.13/67.39 = 46.19/x
  3. Step 3: Cross multiply
    49.13x = 67.39 × 46.19
  4. Step 4: Simplify right side
    49.13x = 3,112.88
  5. Step 5: Solve for x
    x = 3,112.88/49.13
  6. Step 6: Final answer
    x = 63.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.