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Finding the Fourth Proportional to 121.92, 182.88 and 36.42

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Solution

The fourth proportional to 121.92, 182.88 and 36.42 is: 54.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 182.88 = 36.42 : x
  2. Step 2: Convert to fraction form
    121.92/182.88 = 36.42/x
  3. Step 3: Cross multiply
    121.92x = 182.88 × 36.42
  4. Step 4: Simplify right side
    121.92x = 6,660.93
  5. Step 5: Solve for x
    x = 6,660.93/121.92
  6. Step 6: Final answer
    x = 54.63

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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.