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Finding the Fourth Proportional to 136.15, 187.84 and 83.66

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Solution

The fourth proportional to 136.15, 187.84 and 83.66 is: 115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.15 : 187.84 = 83.66 : x
  2. Step 2: Convert to fraction form
    136.15/187.84 = 83.66/x
  3. Step 3: Cross multiply
    136.15x = 187.84 × 83.66
  4. Step 4: Simplify right side
    136.15x = 15,714.69
  5. Step 5: Solve for x
    x = 15,714.69/136.15
  6. Step 6: Final answer
    x = 115.42

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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.