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Finding the Fourth Proportional to 137.97, 206.78 and 105.75

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Solution

The fourth proportional to 137.97, 206.78 and 105.75 is: 158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.97 : 206.78 = 105.75 : x
  2. Step 2: Convert to fraction form
    137.97/206.78 = 105.75/x
  3. Step 3: Cross multiply
    137.97x = 206.78 × 105.75
  4. Step 4: Simplify right side
    137.97x = 21,866.46
  5. Step 5: Solve for x
    x = 21,866.46/137.97
  6. Step 6: Final answer
    x = 158.49

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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.