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Finding the Fourth Proportional to 136.06, 204.16 and 90.44

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Solution

The fourth proportional to 136.06, 204.16 and 90.44 is: 135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.06 : 204.16 = 90.44 : x
  2. Step 2: Convert to fraction form
    136.06/204.16 = 90.44/x
  3. Step 3: Cross multiply
    136.06x = 204.16 × 90.44
  4. Step 4: Simplify right side
    136.06x = 18,464.23
  5. Step 5: Solve for x
    x = 18,464.23/136.06
  6. Step 6: Final answer
    x = 135.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.