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Finding the Fourth Proportional to 122.03, 182.69 and 105.76

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Solution

The fourth proportional to 122.03, 182.69 and 105.76 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.03 : 182.69 = 105.76 : x
  2. Step 2: Convert to fraction form
    122.03/182.69 = 105.76/x
  3. Step 3: Cross multiply
    122.03x = 182.69 × 105.76
  4. Step 4: Simplify right side
    122.03x = 19,321.39
  5. Step 5: Solve for x
    x = 19,321.39/122.03
  6. Step 6: Final answer
    x = 158.33

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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.