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Finding the Fourth Proportional to 112.05, 167.77 and 57.83

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Solution

The fourth proportional to 112.05, 167.77 and 57.83 is: 86.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.05 : 167.77 = 57.83 : x
  2. Step 2: Convert to fraction form
    112.05/167.77 = 57.83/x
  3. Step 3: Cross multiply
    112.05x = 167.77 × 57.83
  4. Step 4: Simplify right side
    112.05x = 9,702.14
  5. Step 5: Solve for x
    x = 9,702.14/112.05
  6. Step 6: Final answer
    x = 86.59

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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.