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Finding the Fourth Proportional to 112.62, 167.59 and 108.30

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Solution

The fourth proportional to 112.62, 167.59 and 108.30 is: 161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.62 : 167.59 = 108.30 : x
  2. Step 2: Convert to fraction form
    112.62/167.59 = 108.30/x
  3. Step 3: Cross multiply
    112.62x = 167.59 × 108.30
  4. Step 4: Simplify right side
    112.62x = 18,150.00
  5. Step 5: Solve for x
    x = 18,150.00/112.62
  6. Step 6: Final answer
    x = 161.16

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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.