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Finding the Fourth Proportional to 122.16, 182.20 and 120.32

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Solution

The fourth proportional to 122.16, 182.20 and 120.32 is: 179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 182.20 = 120.32 : x
  2. Step 2: Convert to fraction form
    122.16/182.20 = 120.32/x
  3. Step 3: Cross multiply
    122.16x = 182.20 × 120.32
  4. Step 4: Simplify right side
    122.16x = 21,922.30
  5. Step 5: Solve for x
    x = 21,922.30/122.16
  6. Step 6: Final answer
    x = 179.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.