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Finding the Fourth Proportional to 121.20, 181.78 and 44.16

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Solution

The fourth proportional to 121.20, 181.78 and 44.16 is: 66.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.20 : 181.78 = 44.16 : x
  2. Step 2: Convert to fraction form
    121.20/181.78 = 44.16/x
  3. Step 3: Cross multiply
    121.20x = 181.78 × 44.16
  4. Step 4: Simplify right side
    121.20x = 8,027.40
  5. Step 5: Solve for x
    x = 8,027.40/121.20
  6. Step 6: Final answer
    x = 66.23

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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.