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Finding the Fourth Proportional to 107.38, 161.39 and 50.42

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Solution

The fourth proportional to 107.38, 161.39 and 50.42 is: 75.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.38 : 161.39 = 50.42 : x
  2. Step 2: Convert to fraction form
    107.38/161.39 = 50.42/x
  3. Step 3: Cross multiply
    107.38x = 161.39 × 50.42
  4. Step 4: Simplify right side
    107.38x = 8,137.28
  5. Step 5: Solve for x
    x = 8,137.28/107.38
  6. Step 6: Final answer
    x = 75.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.