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Finding the Fourth Proportional to 80.53, 111.14 and 45.56

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Solution

The fourth proportional to 80.53, 111.14 and 45.56 is: 62.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.53 : 111.14 = 45.56 : x
  2. Step 2: Convert to fraction form
    80.53/111.14 = 45.56/x
  3. Step 3: Cross multiply
    80.53x = 111.14 × 45.56
  4. Step 4: Simplify right side
    80.53x = 5,063.54
  5. Step 5: Solve for x
    x = 5,063.54/80.53
  6. Step 6: Final answer
    x = 62.88

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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.