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Finding the Fourth Proportional to 120.43, 180.65 and 119.01

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Solution

The fourth proportional to 120.43, 180.65 and 119.01 is: 178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.43 : 180.65 = 119.01 : x
  2. Step 2: Convert to fraction form
    120.43/180.65 = 119.01/x
  3. Step 3: Cross multiply
    120.43x = 180.65 × 119.01
  4. Step 4: Simplify right side
    120.43x = 21,498.56
  5. Step 5: Solve for x
    x = 21,498.56/120.43
  6. Step 6: Final answer
    x = 178.52

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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.