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Finding the Fourth Proportional to 136.86, 204.34 and 120.33

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Solution

The fourth proportional to 136.86, 204.34 and 120.33 is: 179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.86 : 204.34 = 120.33 : x
  2. Step 2: Convert to fraction form
    136.86/204.34 = 120.33/x
  3. Step 3: Cross multiply
    136.86x = 204.34 × 120.33
  4. Step 4: Simplify right side
    136.86x = 24,587.94
  5. Step 5: Solve for x
    x = 24,587.94/136.86
  6. Step 6: Final answer
    x = 179.65

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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.