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Finding the Fourth Proportional to 138.25, 190.75 and 82.99

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Solution

The fourth proportional to 138.25, 190.75 and 82.99 is: 114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.25 : 190.75 = 82.99 : x
  2. Step 2: Convert to fraction form
    138.25/190.75 = 82.99/x
  3. Step 3: Cross multiply
    138.25x = 190.75 × 82.99
  4. Step 4: Simplify right side
    138.25x = 15,830.34
  5. Step 5: Solve for x
    x = 15,830.34/138.25
  6. Step 6: Final answer
    x = 114.51

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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.