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Finding the Fourth Proportional to 119.38, 178.94 and 50.96

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Solution

The fourth proportional to 119.38, 178.94 and 50.96 is: 76.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.38 : 178.94 = 50.96 : x
  2. Step 2: Convert to fraction form
    119.38/178.94 = 50.96/x
  3. Step 3: Cross multiply
    119.38x = 178.94 × 50.96
  4. Step 4: Simplify right side
    119.38x = 9,118.53
  5. Step 5: Solve for x
    x = 9,118.53/119.38
  6. Step 6: Final answer
    x = 76.38

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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.