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Finding the Fourth Proportional to 136.74, 188.70 and 80.74

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Solution

The fourth proportional to 136.74, 188.70 and 80.74 is: 111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.74 : 188.70 = 80.74 : x
  2. Step 2: Convert to fraction form
    136.74/188.70 = 80.74/x
  3. Step 3: Cross multiply
    136.74x = 188.70 × 80.74
  4. Step 4: Simplify right side
    136.74x = 15,235.64
  5. Step 5: Solve for x
    x = 15,235.64/136.74
  6. Step 6: Final answer
    x = 111.42

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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.