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Finding the Fourth Proportional to 136.24, 188.02 and 83.82

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Solution

The fourth proportional to 136.24, 188.02 and 83.82 is: 115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.24 : 188.02 = 83.82 : x
  2. Step 2: Convert to fraction form
    136.24/188.02 = 83.82/x
  3. Step 3: Cross multiply
    136.24x = 188.02 × 83.82
  4. Step 4: Simplify right side
    136.24x = 15,759.84
  5. Step 5: Solve for x
    x = 15,759.84/136.24
  6. Step 6: Final answer
    x = 115.68

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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.