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Finding the Fourth Proportional to 111.61, 167.17 and 84.22

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Solution

The fourth proportional to 111.61, 167.17 and 84.22 is: 126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.61 : 167.17 = 84.22 : x
  2. Step 2: Convert to fraction form
    111.61/167.17 = 84.22/x
  3. Step 3: Cross multiply
    111.61x = 167.17 × 84.22
  4. Step 4: Simplify right side
    111.61x = 14,079.06
  5. Step 5: Solve for x
    x = 14,079.06/111.61
  6. Step 6: Final answer
    x = 126.15

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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.