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Finding the Fourth Proportional to 54.14, 80.81 and 46.55

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Solution

The fourth proportional to 54.14, 80.81 and 46.55 is: 69.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.14 : 80.81 = 46.55 : x
  2. Step 2: Convert to fraction form
    54.14/80.81 = 46.55/x
  3. Step 3: Cross multiply
    54.14x = 80.81 × 46.55
  4. Step 4: Simplify right side
    54.14x = 3,762.02
  5. Step 5: Solve for x
    x = 3,762.02/54.14
  6. Step 6: Final answer
    x = 69.48

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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.