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Finding the Fourth Proportional to 112.01, 167.56 and 75.83

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Solution

The fourth proportional to 112.01, 167.56 and 75.83 is: 113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.01 : 167.56 = 75.83 : x
  2. Step 2: Convert to fraction form
    112.01/167.56 = 75.83/x
  3. Step 3: Cross multiply
    112.01x = 167.56 × 75.83
  4. Step 4: Simplify right side
    112.01x = 12,705.05
  5. Step 5: Solve for x
    x = 12,705.05/112.01
  6. Step 6: Final answer
    x = 113.43

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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.