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Finding the Fourth Proportional to 120, 166.32 and 118.20

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Solution

The fourth proportional to 120, 166.32 and 118.20 is: 163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 166.32 = 118.20 : x
  2. Step 2: Convert to fraction form
    120/166.32 = 118.20/x
  3. Step 3: Cross multiply
    120x = 166.32 × 118.20
  4. Step 4: Simplify right side
    120x = 19,659.02
  5. Step 5: Solve for x
    x = 19,659.02/120
  6. Step 6: Final answer
    x = 163.83

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.