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Finding the Fourth Proportional to 120.39, 180.35 and 74.06

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Solution

The fourth proportional to 120.39, 180.35 and 74.06 is: 110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.39 : 180.35 = 74.06 : x
  2. Step 2: Convert to fraction form
    120.39/180.35 = 74.06/x
  3. Step 3: Cross multiply
    120.39x = 180.35 × 74.06
  4. Step 4: Simplify right side
    120.39x = 13,355.90
  5. Step 5: Solve for x
    x = 13,355.90/120.39
  6. Step 6: Final answer
    x = 110.94

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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.