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Finding the Fourth Proportional to 54.75, 81.74 and 54.37

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Solution

The fourth proportional to 54.75, 81.74 and 54.37 is: 81.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 81.74 = 54.37 : x
  2. Step 2: Convert to fraction form
    54.75/81.74 = 54.37/x
  3. Step 3: Cross multiply
    54.75x = 81.74 × 54.37
  4. Step 4: Simplify right side
    54.75x = 4,444.20
  5. Step 5: Solve for x
    x = 4,444.20/54.75
  6. Step 6: Final answer
    x = 81.17

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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.