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Finding the Fourth Proportional to 154.11, 230.94 and 82.02

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Solution

The fourth proportional to 154.11, 230.94 and 82.02 is: 122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.11 : 230.94 = 82.02 : x
  2. Step 2: Convert to fraction form
    154.11/230.94 = 82.02/x
  3. Step 3: Cross multiply
    154.11x = 230.94 × 82.02
  4. Step 4: Simplify right side
    154.11x = 18,941.70
  5. Step 5: Solve for x
    x = 18,941.70/154.11
  6. Step 6: Final answer
    x = 122.91

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Why These Related Problems?

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