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Finding the Fourth Proportional to 94.42, 140.92 and 71.48

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Solution

The fourth proportional to 94.42, 140.92 and 71.48 is: 106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.42 : 140.92 = 71.48 : x
  2. Step 2: Convert to fraction form
    94.42/140.92 = 71.48/x
  3. Step 3: Cross multiply
    94.42x = 140.92 × 71.48
  4. Step 4: Simplify right side
    94.42x = 10,072.96
  5. Step 5: Solve for x
    x = 10,072.96/94.42
  6. Step 6: Final answer
    x = 106.68

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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.