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Finding the Fourth Proportional to 120.96, 167.13 and 84.24

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Solution

The fourth proportional to 120.96, 167.13 and 84.24 is: 116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.96 : 167.13 = 84.24 : x
  2. Step 2: Convert to fraction form
    120.96/167.13 = 84.24/x
  3. Step 3: Cross multiply
    120.96x = 167.13 × 84.24
  4. Step 4: Simplify right side
    120.96x = 14,079.03
  5. Step 5: Solve for x
    x = 14,079.03/120.96
  6. Step 6: Final answer
    x = 116.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.