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Finding the Fourth Proportional to 54.56, 75.12 and 49.43

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Solution

The fourth proportional to 54.56, 75.12 and 49.43 is: 68.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.56 : 75.12 = 49.43 : x
  2. Step 2: Convert to fraction form
    54.56/75.12 = 49.43/x
  3. Step 3: Cross multiply
    54.56x = 75.12 × 49.43
  4. Step 4: Simplify right side
    54.56x = 3,713.18
  5. Step 5: Solve for x
    x = 3,713.18/54.56
  6. Step 6: Final answer
    x = 68.06

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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.