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Finding the Fourth Proportional to 80.56, 111.07 and 54.34

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Solution

The fourth proportional to 80.56, 111.07 and 54.34 is: 74.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.56 : 111.07 = 54.34 : x
  2. Step 2: Convert to fraction form
    80.56/111.07 = 54.34/x
  3. Step 3: Cross multiply
    80.56x = 111.07 × 54.34
  4. Step 4: Simplify right side
    80.56x = 6,035.54
  5. Step 5: Solve for x
    x = 6,035.54/80.56
  6. Step 6: Final answer
    x = 74.92

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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.