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Finding the Fourth Proportional to 112.19, 168.26 and 73.71

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Solution

The fourth proportional to 112.19, 168.26 and 73.71 is: 110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.19 : 168.26 = 73.71 : x
  2. Step 2: Convert to fraction form
    112.19/168.26 = 73.71/x
  3. Step 3: Cross multiply
    112.19x = 168.26 × 73.71
  4. Step 4: Simplify right side
    112.19x = 12,402.08
  5. Step 5: Solve for x
    x = 12,402.08/112.19
  6. Step 6: Final answer
    x = 110.55

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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.