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Finding the Fourth Proportional to 80.05, 119.85 and 49.53

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Solution

The fourth proportional to 80.05, 119.85 and 49.53 is: 74.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.05 : 119.85 = 49.53 : x
  2. Step 2: Convert to fraction form
    80.05/119.85 = 49.53/x
  3. Step 3: Cross multiply
    80.05x = 119.85 × 49.53
  4. Step 4: Simplify right side
    80.05x = 5,936.17
  5. Step 5: Solve for x
    x = 5,936.17/80.05
  6. Step 6: Final answer
    x = 74.16

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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.