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Finding the Fourth Proportional to 160.14, 220.99 and 120.73

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Solution

The fourth proportional to 160.14, 220.99 and 120.73 is: 166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.14 : 220.99 = 120.73 : x
  2. Step 2: Convert to fraction form
    160.14/220.99 = 120.73/x
  3. Step 3: Cross multiply
    160.14x = 220.99 × 120.73
  4. Step 4: Simplify right side
    160.14x = 26,680.12
  5. Step 5: Solve for x
    x = 26,680.12/160.14
  6. Step 6: Final answer
    x = 166.60

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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.