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Finding the Fourth Proportional to 136.74, 204.70 and 75.69

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Solution

The fourth proportional to 136.74, 204.70 and 75.69 is: 113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.74 : 204.70 = 75.69 : x
  2. Step 2: Convert to fraction form
    136.74/204.70 = 75.69/x
  3. Step 3: Cross multiply
    136.74x = 204.70 × 75.69
  4. Step 4: Simplify right side
    136.74x = 15,493.74
  5. Step 5: Solve for x
    x = 15,493.74/136.74
  6. Step 6: Final answer
    x = 113.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.