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Finding the Fourth Proportional to 136.37, 204.62 and 120.17

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Solution

The fourth proportional to 136.37, 204.62 and 120.17 is: 180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.37 : 204.62 = 120.17 : x
  2. Step 2: Convert to fraction form
    136.37/204.62 = 120.17/x
  3. Step 3: Cross multiply
    136.37x = 204.62 × 120.17
  4. Step 4: Simplify right side
    136.37x = 24,587.56
  5. Step 5: Solve for x
    x = 24,587.56/136.37
  6. Step 6: Final answer
    x = 180.31

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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.