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Finding the Fourth Proportional to 132.77, 199.85 and 120.20

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Solution

The fourth proportional to 132.77, 199.85 and 120.20 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.77 : 199.85 = 120.20 : x
  2. Step 2: Convert to fraction form
    132.77/199.85 = 120.20/x
  3. Step 3: Cross multiply
    132.77x = 199.85 × 120.20
  4. Step 4: Simplify right side
    132.77x = 24,021.97
  5. Step 5: Solve for x
    x = 24,021.97/132.77
  6. Step 6: Final answer
    x = 180.93

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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.