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Finding the Fourth Proportional to 112.28, 167.64 and 93.83

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Solution

The fourth proportional to 112.28, 167.64 and 93.83 is: 140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.28 : 167.64 = 93.83 : x
  2. Step 2: Convert to fraction form
    112.28/167.64 = 93.83/x
  3. Step 3: Cross multiply
    112.28x = 167.64 × 93.83
  4. Step 4: Simplify right side
    112.28x = 15,728.82
  5. Step 5: Solve for x
    x = 15,728.82/112.28
  6. Step 6: Final answer
    x = 140.09

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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.