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Finding the Fourth Proportional to 111.68, 167.20 and 83.20

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Solution

The fourth proportional to 111.68, 167.20 and 83.20 is: 124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.68 : 167.20 = 83.20 : x
  2. Step 2: Convert to fraction form
    111.68/167.20 = 83.20/x
  3. Step 3: Cross multiply
    111.68x = 167.20 × 83.20
  4. Step 4: Simplify right side
    111.68x = 13,911.04
  5. Step 5: Solve for x
    x = 13,911.04/111.68
  6. Step 6: Final answer
    x = 124.56

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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.