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Finding the Fourth Proportional to 112.72, 168.26 and 103.12

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Solution

The fourth proportional to 112.72, 168.26 and 103.12 is: 153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.72 : 168.26 = 103.12 : x
  2. Step 2: Convert to fraction form
    112.72/168.26 = 103.12/x
  3. Step 3: Cross multiply
    112.72x = 168.26 × 103.12
  4. Step 4: Simplify right side
    112.72x = 17,350.97
  5. Step 5: Solve for x
    x = 17,350.97/112.72
  6. Step 6: Final answer
    x = 153.93

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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.