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Finding the Fourth Proportional to 136.73, 188.57 and 105.72

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Solution

The fourth proportional to 136.73, 188.57 and 105.72 is: 145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.73 : 188.57 = 105.72 : x
  2. Step 2: Convert to fraction form
    136.73/188.57 = 105.72/x
  3. Step 3: Cross multiply
    136.73x = 188.57 × 105.72
  4. Step 4: Simplify right side
    136.73x = 19,936.56
  5. Step 5: Solve for x
    x = 19,936.56/136.73
  6. Step 6: Final answer
    x = 145.81

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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.