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Finding the Fourth Proportional to 112.68, 169.67 and 104.68

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Solution

The fourth proportional to 112.68, 169.67 and 104.68 is: 157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.68 : 169.67 = 104.68 : x
  2. Step 2: Convert to fraction form
    112.68/169.67 = 104.68/x
  3. Step 3: Cross multiply
    112.68x = 169.67 × 104.68
  4. Step 4: Simplify right side
    112.68x = 17,761.06
  5. Step 5: Solve for x
    x = 17,761.06/112.68
  6. Step 6: Final answer
    x = 157.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.