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Finding the Fourth Proportional to 122.08, 182.90 and 83.80

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Solution

The fourth proportional to 122.08, 182.90 and 83.80 is: 125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.08 : 182.90 = 83.80 : x
  2. Step 2: Convert to fraction form
    122.08/182.90 = 83.80/x
  3. Step 3: Cross multiply
    122.08x = 182.90 × 83.80
  4. Step 4: Simplify right side
    122.08x = 15,327.02
  5. Step 5: Solve for x
    x = 15,327.02/122.08
  6. Step 6: Final answer
    x = 125.55

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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.