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Finding the Fourth Proportional to 112.30, 168.57 and 109.71

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Solution

The fourth proportional to 112.30, 168.57 and 109.71 is: 164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.30 : 168.57 = 109.71 : x
  2. Step 2: Convert to fraction form
    112.30/168.57 = 109.71/x
  3. Step 3: Cross multiply
    112.30x = 168.57 × 109.71
  4. Step 4: Simplify right side
    112.30x = 18,493.81
  5. Step 5: Solve for x
    x = 18,493.81/112.30
  6. Step 6: Final answer
    x = 164.69

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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.