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Finding the Fourth Proportional to 122.02, 183.09 and 40.93

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Solution

The fourth proportional to 122.02, 183.09 and 40.93 is: 61.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.02 : 183.09 = 40.93 : x
  2. Step 2: Convert to fraction form
    122.02/183.09 = 40.93/x
  3. Step 3: Cross multiply
    122.02x = 183.09 × 40.93
  4. Step 4: Simplify right side
    122.02x = 7,493.87
  5. Step 5: Solve for x
    x = 7,493.87/122.02
  6. Step 6: Final answer
    x = 61.42

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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.