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Finding the Fourth Proportional to 122.72, 182.76 and 121.91

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Solution

The fourth proportional to 122.72, 182.76 and 121.91 is: 181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.72 : 182.76 = 121.91 : x
  2. Step 2: Convert to fraction form
    122.72/182.76 = 121.91/x
  3. Step 3: Cross multiply
    122.72x = 182.76 × 121.91
  4. Step 4: Simplify right side
    122.72x = 22,278.90
  5. Step 5: Solve for x
    x = 22,278.90/122.72
  6. Step 6: Final answer
    x = 181.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.