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Finding the Fourth Proportional to 136.94, 205.34 and 107.78

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Solution

The fourth proportional to 136.94, 205.34 and 107.78 is: 161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.94 : 205.34 = 107.78 : x
  2. Step 2: Convert to fraction form
    136.94/205.34 = 107.78/x
  3. Step 3: Cross multiply
    136.94x = 205.34 × 107.78
  4. Step 4: Simplify right side
    136.94x = 22,131.13
  5. Step 5: Solve for x
    x = 22,131.13/136.94
  6. Step 6: Final answer
    x = 161.61

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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.