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Finding the Fourth Proportional to 133.77, 201.36 and 121.20

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Solution

The fourth proportional to 133.77, 201.36 and 121.20 is: 182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.77 : 201.36 = 121.20 : x
  2. Step 2: Convert to fraction form
    133.77/201.36 = 121.20/x
  3. Step 3: Cross multiply
    133.77x = 201.36 × 121.20
  4. Step 4: Simplify right side
    133.77x = 24,404.83
  5. Step 5: Solve for x
    x = 24,404.83/133.77
  6. Step 6: Final answer
    x = 182.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.