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Finding the Fourth Proportional to 136.41, 188.27 and 106.95

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Solution

The fourth proportional to 136.41, 188.27 and 106.95 is: 147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.41 : 188.27 = 106.95 : x
  2. Step 2: Convert to fraction form
    136.41/188.27 = 106.95/x
  3. Step 3: Cross multiply
    136.41x = 188.27 × 106.95
  4. Step 4: Simplify right side
    136.41x = 20,134.94
  5. Step 5: Solve for x
    x = 20,134.94/136.41
  6. Step 6: Final answer
    x = 147.61

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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.