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Finding the Fourth Proportional to 137, 205.38 and 68.54

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Solution

The fourth proportional to 137, 205.38 and 68.54 is: 102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137 : 205.38 = 68.54 : x
  2. Step 2: Convert to fraction form
    137/205.38 = 68.54/x
  3. Step 3: Cross multiply
    137x = 205.38 × 68.54
  4. Step 4: Simplify right side
    137x = 14,076.75
  5. Step 5: Solve for x
    x = 14,076.75/137
  6. Step 6: Final answer
    x = 102.75

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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.