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Finding the Fourth Proportional to 80.84, 120.56 and 75.44

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Solution

The fourth proportional to 80.84, 120.56 and 75.44 is: 112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.84 : 120.56 = 75.44 : x
  2. Step 2: Convert to fraction form
    80.84/120.56 = 75.44/x
  3. Step 3: Cross multiply
    80.84x = 120.56 × 75.44
  4. Step 4: Simplify right side
    80.84x = 9,095.05
  5. Step 5: Solve for x
    x = 9,095.05/80.84
  6. Step 6: Final answer
    x = 112.51

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Why These Related Problems?

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