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Finding the Fourth Proportional to 136.38, 188.06 and 107.22

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Solution

The fourth proportional to 136.38, 188.06 and 107.22 is: 147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.38 : 188.06 = 107.22 : x
  2. Step 2: Convert to fraction form
    136.38/188.06 = 107.22/x
  3. Step 3: Cross multiply
    136.38x = 188.06 × 107.22
  4. Step 4: Simplify right side
    136.38x = 20,163.79
  5. Step 5: Solve for x
    x = 20,163.79/136.38
  6. Step 6: Final answer
    x = 147.85

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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.