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Finding the Fourth Proportional to 133.60, 183.72 and 122.80

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Solution

The fourth proportional to 133.60, 183.72 and 122.80 is: 168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.60 : 183.72 = 122.80 : x
  2. Step 2: Convert to fraction form
    133.60/183.72 = 122.80/x
  3. Step 3: Cross multiply
    133.60x = 183.72 × 122.80
  4. Step 4: Simplify right side
    133.60x = 22,560.82
  5. Step 5: Solve for x
    x = 22,560.82/133.60
  6. Step 6: Final answer
    x = 168.87

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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.