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Finding the Fourth Proportional to 121.42, 181.68 and 108.78

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Solution

The fourth proportional to 121.42, 181.68 and 108.78 is: 162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.42 : 181.68 = 108.78 : x
  2. Step 2: Convert to fraction form
    121.42/181.68 = 108.78/x
  3. Step 3: Cross multiply
    121.42x = 181.68 × 108.78
  4. Step 4: Simplify right side
    121.42x = 19,763.29
  5. Step 5: Solve for x
    x = 19,763.29/121.42
  6. Step 6: Final answer
    x = 162.76

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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.