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Finding the Fourth Proportional to 97.95, 134.82 and 68.79

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Solution

The fourth proportional to 97.95, 134.82 and 68.79 is: 94.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.95 : 134.82 = 68.79 : x
  2. Step 2: Convert to fraction form
    97.95/134.82 = 68.79/x
  3. Step 3: Cross multiply
    97.95x = 134.82 × 68.79
  4. Step 4: Simplify right side
    97.95x = 9,274.27
  5. Step 5: Solve for x
    x = 9,274.27/97.95
  6. Step 6: Final answer
    x = 94.68

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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.