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Finding the Fourth Proportional to 120.35, 180.29 and 62.44

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Solution

The fourth proportional to 120.35, 180.29 and 62.44 is: 93.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.35 : 180.29 = 62.44 : x
  2. Step 2: Convert to fraction form
    120.35/180.29 = 62.44/x
  3. Step 3: Cross multiply
    120.35x = 180.29 × 62.44
  4. Step 4: Simplify right side
    120.35x = 11,257.01
  5. Step 5: Solve for x
    x = 11,257.01/120.35
  6. Step 6: Final answer
    x = 93.53

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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.