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Finding the Fourth Proportional to 122.36, 184.72 and 121.64

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Solution

The fourth proportional to 122.36, 184.72 and 121.64 is: 183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.36 : 184.72 = 121.64 : x
  2. Step 2: Convert to fraction form
    122.36/184.72 = 121.64/x
  3. Step 3: Cross multiply
    122.36x = 184.72 × 121.64
  4. Step 4: Simplify right side
    122.36x = 22,468.73
  5. Step 5: Solve for x
    x = 22,468.73/122.36
  6. Step 6: Final answer
    x = 183.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.