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Finding the Fourth Proportional to 113.20, 168.82 and 96.19

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Solution

The fourth proportional to 113.20, 168.82 and 96.19 is: 143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.20 : 168.82 = 96.19 : x
  2. Step 2: Convert to fraction form
    113.20/168.82 = 96.19/x
  3. Step 3: Cross multiply
    113.20x = 168.82 × 96.19
  4. Step 4: Simplify right side
    113.20x = 16,238.13
  5. Step 5: Solve for x
    x = 16,238.13/113.20
  6. Step 6: Final answer
    x = 143.45

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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.