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Finding the Fourth Proportional to 80.53, 111.14 and 49.46

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Solution

The fourth proportional to 80.53, 111.14 and 49.46 is: 68.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.53 : 111.14 = 49.46 : x
  2. Step 2: Convert to fraction form
    80.53/111.14 = 49.46/x
  3. Step 3: Cross multiply
    80.53x = 111.14 × 49.46
  4. Step 4: Simplify right side
    80.53x = 5,496.98
  5. Step 5: Solve for x
    x = 5,496.98/80.53
  6. Step 6: Final answer
    x = 68.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.