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Finding the Fourth Proportional to 113.04, 168.44 and 112.09

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Solution

The fourth proportional to 113.04, 168.44 and 112.09 is: 167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.04 : 168.44 = 112.09 : x
  2. Step 2: Convert to fraction form
    113.04/168.44 = 112.09/x
  3. Step 3: Cross multiply
    113.04x = 168.44 × 112.09
  4. Step 4: Simplify right side
    113.04x = 18,880.44
  5. Step 5: Solve for x
    x = 18,880.44/113.04
  6. Step 6: Final answer
    x = 167.02

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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.