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Finding the Fourth Proportional to 80.93, 121.27 and 54.84

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Solution

The fourth proportional to 80.93, 121.27 and 54.84 is: 82.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.93 : 121.27 = 54.84 : x
  2. Step 2: Convert to fraction form
    80.93/121.27 = 54.84/x
  3. Step 3: Cross multiply
    80.93x = 121.27 × 54.84
  4. Step 4: Simplify right side
    80.93x = 6,651.02
  5. Step 5: Solve for x
    x = 6,651.02/80.93
  6. Step 6: Final answer
    x = 82.18

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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.