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Finding the Fourth Proportional to 120.88, 166.96 and 84.23

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Solution

The fourth proportional to 120.88, 166.96 and 84.23 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.88 : 166.96 = 84.23 : x
  2. Step 2: Convert to fraction form
    120.88/166.96 = 84.23/x
  3. Step 3: Cross multiply
    120.88x = 166.96 × 84.23
  4. Step 4: Simplify right side
    120.88x = 14,063.04
  5. Step 5: Solve for x
    x = 14,063.04/120.88
  6. Step 6: Final answer
    x = 116.34

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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.