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Finding the Fourth Proportional to 119.70, 166.14 and 116.73

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Solution

The fourth proportional to 119.70, 166.14 and 116.73 is: 162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.70 : 166.14 = 116.73 : x
  2. Step 2: Convert to fraction form
    119.70/166.14 = 116.73/x
  3. Step 3: Cross multiply
    119.70x = 166.14 × 116.73
  4. Step 4: Simplify right side
    119.70x = 19,393.52
  5. Step 5: Solve for x
    x = 19,393.52/119.70
  6. Step 6: Final answer
    x = 162.02

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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.