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Finding the Fourth Proportional to 112.08, 168 and 105.68

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Solution

The fourth proportional to 112.08, 168 and 105.68 is: 158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.08 : 168 = 105.68 : x
  2. Step 2: Convert to fraction form
    112.08/168 = 105.68/x
  3. Step 3: Cross multiply
    112.08x = 168 × 105.68
  4. Step 4: Simplify right side
    112.08x = 17,754.24
  5. Step 5: Solve for x
    x = 17,754.24/112.08
  6. Step 6: Final answer
    x = 158.41

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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.