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Finding the Fourth Proportional to 138.14, 190.54 and 82.83

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Solution

The fourth proportional to 138.14, 190.54 and 82.83 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.14 : 190.54 = 82.83 : x
  2. Step 2: Convert to fraction form
    138.14/190.54 = 82.83/x
  3. Step 3: Cross multiply
    138.14x = 190.54 × 82.83
  4. Step 4: Simplify right side
    138.14x = 15,782.22
  5. Step 5: Solve for x
    x = 15,782.22/138.14
  6. Step 6: Final answer
    x = 114.25

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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.