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Finding the Fourth Proportional to 136.12, 187.74 and 122.92

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Solution

The fourth proportional to 136.12, 187.74 and 122.92 is: 169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.12 : 187.74 = 122.92 : x
  2. Step 2: Convert to fraction form
    136.12/187.74 = 122.92/x
  3. Step 3: Cross multiply
    136.12x = 187.74 × 122.92
  4. Step 4: Simplify right side
    136.12x = 23,076.06
  5. Step 5: Solve for x
    x = 23,076.06/136.12
  6. Step 6: Final answer
    x = 169.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.