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Finding the Fourth Proportional to 111.56, 167.28 and 83

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Solution

The fourth proportional to 111.56, 167.28 and 83 is: 124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.56 : 167.28 = 83 : x
  2. Step 2: Convert to fraction form
    111.56/167.28 = 83/x
  3. Step 3: Cross multiply
    111.56x = 167.28 × 83
  4. Step 4: Simplify right side
    111.56x = 13,884.24
  5. Step 5: Solve for x
    x = 13,884.24/111.56
  6. Step 6: Final answer
    x = 124.46

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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.