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Finding the Fourth Proportional to 109.91, 151.68 and 82.23

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Solution

The fourth proportional to 109.91, 151.68 and 82.23 is: 113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.91 : 151.68 = 82.23 : x
  2. Step 2: Convert to fraction form
    109.91/151.68 = 82.23/x
  3. Step 3: Cross multiply
    109.91x = 151.68 × 82.23
  4. Step 4: Simplify right side
    109.91x = 12,472.65
  5. Step 5: Solve for x
    x = 12,472.65/109.91
  6. Step 6: Final answer
    x = 113.48

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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.