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Finding the Fourth Proportional to 123.96, 184.84 and 121.08

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Solution

The fourth proportional to 123.96, 184.84 and 121.08 is: 180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.96 : 184.84 = 121.08 : x
  2. Step 2: Convert to fraction form
    123.96/184.84 = 121.08/x
  3. Step 3: Cross multiply
    123.96x = 184.84 × 121.08
  4. Step 4: Simplify right side
    123.96x = 22,380.43
  5. Step 5: Solve for x
    x = 22,380.43/123.96
  6. Step 6: Final answer
    x = 180.55

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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.