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Finding the Fourth Proportional to 138.05, 190.51 and 82.02

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Solution

The fourth proportional to 138.05, 190.51 and 82.02 is: 113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.05 : 190.51 = 82.02 : x
  2. Step 2: Convert to fraction form
    138.05/190.51 = 82.02/x
  3. Step 3: Cross multiply
    138.05x = 190.51 × 82.02
  4. Step 4: Simplify right side
    138.05x = 15,626.14
  5. Step 5: Solve for x
    x = 15,626.14/138.05
  6. Step 6: Final answer
    x = 113.19

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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.