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Finding the Fourth Proportional to 122.05, 182.74 and 83.47

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Solution

The fourth proportional to 122.05, 182.74 and 83.47 is: 124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.05 : 182.74 = 83.47 : x
  2. Step 2: Convert to fraction form
    122.05/182.74 = 83.47/x
  3. Step 3: Cross multiply
    122.05x = 182.74 × 83.47
  4. Step 4: Simplify right side
    122.05x = 15,253.31
  5. Step 5: Solve for x
    x = 15,253.31/122.05
  6. Step 6: Final answer
    x = 124.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.