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Finding the Fourth Proportional to 120.89, 166.86 and 105.50

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Solution

The fourth proportional to 120.89, 166.86 and 105.50 is: 145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.89 : 166.86 = 105.50 : x
  2. Step 2: Convert to fraction form
    120.89/166.86 = 105.50/x
  3. Step 3: Cross multiply
    120.89x = 166.86 × 105.50
  4. Step 4: Simplify right side
    120.89x = 17,604.15
  5. Step 5: Solve for x
    x = 17,604.15/120.89
  6. Step 6: Final answer
    x = 145.62

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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.