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Finding the Fourth Proportional to 136.89, 204.46 and 106.41

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Solution

The fourth proportional to 136.89, 204.46 and 106.41 is: 158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.89 : 204.46 = 106.41 : x
  2. Step 2: Convert to fraction form
    136.89/204.46 = 106.41/x
  3. Step 3: Cross multiply
    136.89x = 204.46 × 106.41
  4. Step 4: Simplify right side
    136.89x = 21,757.09
  5. Step 5: Solve for x
    x = 21,757.09/136.89
  6. Step 6: Final answer
    x = 158.94

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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.