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Finding the Fourth Proportional to 122.54, 183.92 and 92.01

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Solution

The fourth proportional to 122.54, 183.92 and 92.01 is: 138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.54 : 183.92 = 92.01 : x
  2. Step 2: Convert to fraction form
    122.54/183.92 = 92.01/x
  3. Step 3: Cross multiply
    122.54x = 183.92 × 92.01
  4. Step 4: Simplify right side
    122.54x = 16,922.02
  5. Step 5: Solve for x
    x = 16,922.02/122.54
  6. Step 6: Final answer
    x = 138.09

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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.