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Finding the Fourth Proportional to 54.73, 81.54 and 51.63

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Solution

The fourth proportional to 54.73, 81.54 and 51.63 is: 76.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.73 : 81.54 = 51.63 : x
  2. Step 2: Convert to fraction form
    54.73/81.54 = 51.63/x
  3. Step 3: Cross multiply
    54.73x = 81.54 × 51.63
  4. Step 4: Simplify right side
    54.73x = 4,209.91
  5. Step 5: Solve for x
    x = 4,209.91/54.73
  6. Step 6: Final answer
    x = 76.92

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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.