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Finding the Fourth Proportional to 113.66, 169.66 and 112.44

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Solution

The fourth proportional to 113.66, 169.66 and 112.44 is: 167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.66 : 169.66 = 112.44 : x
  2. Step 2: Convert to fraction form
    113.66/169.66 = 112.44/x
  3. Step 3: Cross multiply
    113.66x = 169.66 × 112.44
  4. Step 4: Simplify right side
    113.66x = 19,076.57
  5. Step 5: Solve for x
    x = 19,076.57/113.66
  6. Step 6: Final answer
    x = 167.84

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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.