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Finding the Fourth Proportional to 71.36, 97.92 and 68.48

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Solution

The fourth proportional to 71.36, 97.92 and 68.48 is: 93.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.36 : 97.92 = 68.48 : x
  2. Step 2: Convert to fraction form
    71.36/97.92 = 68.48/x
  3. Step 3: Cross multiply
    71.36x = 97.92 × 68.48
  4. Step 4: Simplify right side
    71.36x = 6,705.56
  5. Step 5: Solve for x
    x = 6,705.56/71.36
  6. Step 6: Final answer
    x = 93.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.