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Finding the Fourth Proportional to 136.12, 187.74 and 83.62

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Solution

The fourth proportional to 136.12, 187.74 and 83.62 is: 115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.12 : 187.74 = 83.62 : x
  2. Step 2: Convert to fraction form
    136.12/187.74 = 83.62/x
  3. Step 3: Cross multiply
    136.12x = 187.74 × 83.62
  4. Step 4: Simplify right side
    136.12x = 15,698.82
  5. Step 5: Solve for x
    x = 15,698.82/136.12
  6. Step 6: Final answer
    x = 115.33

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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.