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Finding the Fourth Proportional to 122.20, 182.45 and 107.08

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Solution

The fourth proportional to 122.20, 182.45 and 107.08 is: 159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.20 : 182.45 = 107.08 : x
  2. Step 2: Convert to fraction form
    122.20/182.45 = 107.08/x
  3. Step 3: Cross multiply
    122.20x = 182.45 × 107.08
  4. Step 4: Simplify right side
    122.20x = 19,536.75
  5. Step 5: Solve for x
    x = 19,536.75/122.20
  6. Step 6: Final answer
    x = 159.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.