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Finding the Fourth Proportional to 120.32, 180.58 and 119.42

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Solution

The fourth proportional to 120.32, 180.58 and 119.42 is: 179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.32 : 180.58 = 119.42 : x
  2. Step 2: Convert to fraction form
    120.32/180.58 = 119.42/x
  3. Step 3: Cross multiply
    120.32x = 180.58 × 119.42
  4. Step 4: Simplify right side
    120.32x = 21,564.86
  5. Step 5: Solve for x
    x = 21,564.86/120.32
  6. Step 6: Final answer
    x = 179.23

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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.