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Finding the Fourth Proportional to 122.42, 184.41 and 120.83

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Solution

The fourth proportional to 122.42, 184.41 and 120.83 is: 182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.42 : 184.41 = 120.83 : x
  2. Step 2: Convert to fraction form
    122.42/184.41 = 120.83/x
  3. Step 3: Cross multiply
    122.42x = 184.41 × 120.83
  4. Step 4: Simplify right side
    122.42x = 22,282.26
  5. Step 5: Solve for x
    x = 22,282.26/122.42
  6. Step 6: Final answer
    x = 182.01

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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.