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Finding the Fourth Proportional to 121.75, 182.43 and 53.20

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Solution

The fourth proportional to 121.75, 182.43 and 53.20 is: 79.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.75 : 182.43 = 53.20 : x
  2. Step 2: Convert to fraction form
    121.75/182.43 = 53.20/x
  3. Step 3: Cross multiply
    121.75x = 182.43 × 53.20
  4. Step 4: Simplify right side
    121.75x = 9,704.82
  5. Step 5: Solve for x
    x = 9,704.82/121.75
  6. Step 6: Final answer
    x = 79.71

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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.