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Finding the Fourth Proportional to 138.34, 190.83 and 83.06

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Solution

The fourth proportional to 138.34, 190.83 and 83.06 is: 114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.34 : 190.83 = 83.06 : x
  2. Step 2: Convert to fraction form
    138.34/190.83 = 83.06/x
  3. Step 3: Cross multiply
    138.34x = 190.83 × 83.06
  4. Step 4: Simplify right side
    138.34x = 15,850.34
  5. Step 5: Solve for x
    x = 15,850.34/138.34
  6. Step 6: Final answer
    x = 114.58

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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.