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Finding the Fourth Proportional to 113.07, 168.91 and 94.85

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Solution

The fourth proportional to 113.07, 168.91 and 94.85 is: 141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.07 : 168.91 = 94.85 : x
  2. Step 2: Convert to fraction form
    113.07/168.91 = 94.85/x
  3. Step 3: Cross multiply
    113.07x = 168.91 × 94.85
  4. Step 4: Simplify right side
    113.07x = 16,020.03
  5. Step 5: Solve for x
    x = 16,020.03/113.07
  6. Step 6: Final answer
    x = 141.68

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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.