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Finding the Fourth Proportional to 123.62, 184.25 and 120.20

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Solution

The fourth proportional to 123.62, 184.25 and 120.20 is: 179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.62 : 184.25 = 120.20 : x
  2. Step 2: Convert to fraction form
    123.62/184.25 = 120.20/x
  3. Step 3: Cross multiply
    123.62x = 184.25 × 120.20
  4. Step 4: Simplify right side
    123.62x = 22,146.23
  5. Step 5: Solve for x
    x = 22,146.23/123.62
  6. Step 6: Final answer
    x = 179.15

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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.