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Finding the Fourth Proportional to 54.08, 80.98 and 45.98

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Solution

The fourth proportional to 54.08, 80.98 and 45.98 is: 68.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.08 : 80.98 = 45.98 : x
  2. Step 2: Convert to fraction form
    54.08/80.98 = 45.98/x
  3. Step 3: Cross multiply
    54.08x = 80.98 × 45.98
  4. Step 4: Simplify right side
    54.08x = 3,723.46
  5. Step 5: Solve for x
    x = 3,723.46/54.08
  6. Step 6: Final answer
    x = 68.85

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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.