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Finding the Fourth Proportional to 120.26, 180.44 and 43.25

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Solution

The fourth proportional to 120.26, 180.44 and 43.25 is: 64.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.26 : 180.44 = 43.25 : x
  2. Step 2: Convert to fraction form
    120.26/180.44 = 43.25/x
  3. Step 3: Cross multiply
    120.26x = 180.44 × 43.25
  4. Step 4: Simplify right side
    120.26x = 7,802.91
  5. Step 5: Solve for x
    x = 7,802.91/120.26
  6. Step 6: Final answer
    x = 64.88

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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.