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Finding the Fourth Proportional to 120.42, 181.26 and 110.88

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Solution

The fourth proportional to 120.42, 181.26 and 110.88 is: 166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 181.26 = 110.88 : x
  2. Step 2: Convert to fraction form
    120.42/181.26 = 110.88/x
  3. Step 3: Cross multiply
    120.42x = 181.26 × 110.88
  4. Step 4: Simplify right side
    120.42x = 20,098.11
  5. Step 5: Solve for x
    x = 20,098.11/120.42
  6. Step 6: Final answer
    x = 166.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.