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Finding the Fourth Proportional to 121.42, 181.95 and 69.96

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Solution

The fourth proportional to 121.42, 181.95 and 69.96 is: 104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.42 : 181.95 = 69.96 : x
  2. Step 2: Convert to fraction form
    121.42/181.95 = 69.96/x
  3. Step 3: Cross multiply
    121.42x = 181.95 × 69.96
  4. Step 4: Simplify right side
    121.42x = 12,728.11
  5. Step 5: Solve for x
    x = 12,728.11/121.42
  6. Step 6: Final answer
    x = 104.83

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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.