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Finding the Fourth Proportional to 120.56, 181.03 and 75.19

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Solution

The fourth proportional to 120.56, 181.03 and 75.19 is: 112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.56 : 181.03 = 75.19 : x
  2. Step 2: Convert to fraction form
    120.56/181.03 = 75.19/x
  3. Step 3: Cross multiply
    120.56x = 181.03 × 75.19
  4. Step 4: Simplify right side
    120.56x = 13,611.65
  5. Step 5: Solve for x
    x = 13,611.65/120.56
  6. Step 6: Final answer
    x = 112.90

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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.