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Finding the Fourth Proportional to 136.60, 204.02 and 119.59

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Solution

The fourth proportional to 136.60, 204.02 and 119.59 is: 178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.60 : 204.02 = 119.59 : x
  2. Step 2: Convert to fraction form
    136.60/204.02 = 119.59/x
  3. Step 3: Cross multiply
    136.60x = 204.02 × 119.59
  4. Step 4: Simplify right side
    136.60x = 24,398.75
  5. Step 5: Solve for x
    x = 24,398.75/136.60
  6. Step 6: Final answer
    x = 178.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.