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Finding the Fourth Proportional to 68.92, 94.95 and 54.34

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Solution

The fourth proportional to 68.92, 94.95 and 54.34 is: 74.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.92 : 94.95 = 54.34 : x
  2. Step 2: Convert to fraction form
    68.92/94.95 = 54.34/x
  3. Step 3: Cross multiply
    68.92x = 94.95 × 54.34
  4. Step 4: Simplify right side
    68.92x = 5,159.58
  5. Step 5: Solve for x
    x = 5,159.58/68.92
  6. Step 6: Final answer
    x = 74.86

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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.