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Finding the Fourth Proportional to 137.94, 206.96 and 83.87

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Solution

The fourth proportional to 137.94, 206.96 and 83.87 is: 125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.94 : 206.96 = 83.87 : x
  2. Step 2: Convert to fraction form
    137.94/206.96 = 83.87/x
  3. Step 3: Cross multiply
    137.94x = 206.96 × 83.87
  4. Step 4: Simplify right side
    137.94x = 17,357.06
  5. Step 5: Solve for x
    x = 17,357.06/137.94
  6. Step 6: Final answer
    x = 125.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.