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Finding the Fourth Proportional to 120.15, 166.52 and 108

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Solution

The fourth proportional to 120.15, 166.52 and 108 is: 149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.15 : 166.52 = 108 : x
  2. Step 2: Convert to fraction form
    120.15/166.52 = 108/x
  3. Step 3: Cross multiply
    120.15x = 166.52 × 108
  4. Step 4: Simplify right side
    120.15x = 17,984.43
  5. Step 5: Solve for x
    x = 17,984.43/120.15
  6. Step 6: Final answer
    x = 149.68

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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.