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Finding the Fourth Proportional to 120.15, 180.35 and 74.59

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Solution

The fourth proportional to 120.15, 180.35 and 74.59 is: 111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.15 : 180.35 = 74.59 : x
  2. Step 2: Convert to fraction form
    120.15/180.35 = 74.59/x
  3. Step 3: Cross multiply
    120.15x = 180.35 × 74.59
  4. Step 4: Simplify right side
    120.15x = 13,452.16
  5. Step 5: Solve for x
    x = 13,452.16/120.15
  6. Step 6: Final answer
    x = 111.96

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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.