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Finding the Fourth Proportional to 120.45, 180.67 and 29.15

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Solution

The fourth proportional to 120.45, 180.67 and 29.15 is: 43.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.45 : 180.67 = 29.15 : x
  2. Step 2: Convert to fraction form
    120.45/180.67 = 29.15/x
  3. Step 3: Cross multiply
    120.45x = 180.67 × 29.15
  4. Step 4: Simplify right side
    120.45x = 5,265.70
  5. Step 5: Solve for x
    x = 5,265.70/120.45
  6. Step 6: Final answer
    x = 43.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.