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Finding the Fourth Proportional to 112.10, 167.08 and 108.78

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Solution

The fourth proportional to 112.10, 167.08 and 108.78 is: 162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.10 : 167.08 = 108.78 : x
  2. Step 2: Convert to fraction form
    112.10/167.08 = 108.78/x
  3. Step 3: Cross multiply
    112.10x = 167.08 × 108.78
  4. Step 4: Simplify right side
    112.10x = 18,174.96
  5. Step 5: Solve for x
    x = 18,174.96/112.10
  6. Step 6: Final answer
    x = 162.13

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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.