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Finding the Fourth Proportional to 121.12, 181.34 and 96.62

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Solution

The fourth proportional to 121.12, 181.34 and 96.62 is: 144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.12 : 181.34 = 96.62 : x
  2. Step 2: Convert to fraction form
    121.12/181.34 = 96.62/x
  3. Step 3: Cross multiply
    121.12x = 181.34 × 96.62
  4. Step 4: Simplify right side
    121.12x = 17,520.55
  5. Step 5: Solve for x
    x = 17,520.55/121.12
  6. Step 6: Final answer
    x = 144.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.