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Finding the Fourth Proportional to 136.74, 206.04 and 131.70

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Solution

The fourth proportional to 136.74, 206.04 and 131.70 is: 198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.74 : 206.04 = 131.70 : x
  2. Step 2: Convert to fraction form
    136.74/206.04 = 131.70/x
  3. Step 3: Cross multiply
    136.74x = 206.04 × 131.70
  4. Step 4: Simplify right side
    136.74x = 27,135.47
  5. Step 5: Solve for x
    x = 27,135.47/136.74
  6. Step 6: Final answer
    x = 198.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.