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Finding the Fourth Proportional to 68.72, 94.90 and 54.88

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Solution

The fourth proportional to 68.72, 94.90 and 54.88 is: 75.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.72 : 94.90 = 54.88 : x
  2. Step 2: Convert to fraction form
    68.72/94.90 = 54.88/x
  3. Step 3: Cross multiply
    68.72x = 94.90 × 54.88
  4. Step 4: Simplify right side
    68.72x = 5,208.11
  5. Step 5: Solve for x
    x = 5,208.11/68.72
  6. Step 6: Final answer
    x = 75.79

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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.