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Finding the Fourth Proportional to 136.06, 203.08 and 119.06

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Solution

The fourth proportional to 136.06, 203.08 and 119.06 is: 177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.06 : 203.08 = 119.06 : x
  2. Step 2: Convert to fraction form
    136.06/203.08 = 119.06/x
  3. Step 3: Cross multiply
    136.06x = 203.08 × 119.06
  4. Step 4: Simplify right side
    136.06x = 24,178.70
  5. Step 5: Solve for x
    x = 24,178.70/136.06
  6. Step 6: Final answer
    x = 177.71

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