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Finding the Fourth Proportional to 112.43, 169.37 and 111.02

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Solution

The fourth proportional to 112.43, 169.37 and 111.02 is: 167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.43 : 169.37 = 111.02 : x
  2. Step 2: Convert to fraction form
    112.43/169.37 = 111.02/x
  3. Step 3: Cross multiply
    112.43x = 169.37 × 111.02
  4. Step 4: Simplify right side
    112.43x = 18,802.47
  5. Step 5: Solve for x
    x = 18,802.47/112.43
  6. Step 6: Final answer
    x = 167.23

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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.