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Finding the Fourth Proportional to 138.14, 190.67 and 79.94

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Solution

The fourth proportional to 138.14, 190.67 and 79.94 is: 110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.14 : 190.67 = 79.94 : x
  2. Step 2: Convert to fraction form
    138.14/190.67 = 79.94/x
  3. Step 3: Cross multiply
    138.14x = 190.67 × 79.94
  4. Step 4: Simplify right side
    138.14x = 15,240.81
  5. Step 5: Solve for x
    x = 15,240.81/138.14
  6. Step 6: Final answer
    x = 110.33

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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.