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Finding the Fourth Proportional to 122.09, 183.08 and 83.46

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Solution

The fourth proportional to 122.09, 183.08 and 83.46 is: 125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.09 : 183.08 = 83.46 : x
  2. Step 2: Convert to fraction form
    122.09/183.08 = 83.46/x
  3. Step 3: Cross multiply
    122.09x = 183.08 × 83.46
  4. Step 4: Simplify right side
    122.09x = 15,279.44
  5. Step 5: Solve for x
    x = 15,279.44/122.09
  6. Step 6: Final answer
    x = 125.15

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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.