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Finding the Fourth Proportional to 112.68, 169.10 and 72.12

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Solution

The fourth proportional to 112.68, 169.10 and 72.12 is: 108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.68 : 169.10 = 72.12 : x
  2. Step 2: Convert to fraction form
    112.68/169.10 = 72.12/x
  3. Step 3: Cross multiply
    112.68x = 169.10 × 72.12
  4. Step 4: Simplify right side
    112.68x = 12,195.49
  5. Step 5: Solve for x
    x = 12,195.49/112.68
  6. Step 6: Final answer
    x = 108.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.