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Finding the Fourth Proportional to 136.37, 188.26 and 83.93

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Solution

The fourth proportional to 136.37, 188.26 and 83.93 is: 115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.37 : 188.26 = 83.93 : x
  2. Step 2: Convert to fraction form
    136.37/188.26 = 83.93/x
  3. Step 3: Cross multiply
    136.37x = 188.26 × 83.93
  4. Step 4: Simplify right side
    136.37x = 15,799.30
  5. Step 5: Solve for x
    x = 15,799.30/136.37
  6. Step 6: Final answer
    x = 115.86

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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.