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Finding the Fourth Proportional to 54.78, 82.10 and 27.66

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Solution

The fourth proportional to 54.78, 82.10 and 27.66 is: 41.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.78 : 82.10 = 27.66 : x
  2. Step 2: Convert to fraction form
    54.78/82.10 = 27.66/x
  3. Step 3: Cross multiply
    54.78x = 82.10 × 27.66
  4. Step 4: Simplify right side
    54.78x = 2,270.89
  5. Step 5: Solve for x
    x = 2,270.89/54.78
  6. Step 6: Final answer
    x = 41.45

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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.