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Finding the Fourth Proportional to 138.87, 191.73 and 83.63

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Solution

The fourth proportional to 138.87, 191.73 and 83.63 is: 115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.87 : 191.73 = 83.63 : x
  2. Step 2: Convert to fraction form
    138.87/191.73 = 83.63/x
  3. Step 3: Cross multiply
    138.87x = 191.73 × 83.63
  4. Step 4: Simplify right side
    138.87x = 16,033.42
  5. Step 5: Solve for x
    x = 16,033.42/138.87
  6. Step 6: Final answer
    x = 115.46

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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.