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Finding the Fourth Proportional to 120.98, 166.89 and 84.17

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Solution

The fourth proportional to 120.98, 166.89 and 84.17 is: 116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.98 : 166.89 = 84.17 : x
  2. Step 2: Convert to fraction form
    120.98/166.89 = 84.17/x
  3. Step 3: Cross multiply
    120.98x = 166.89 × 84.17
  4. Step 4: Simplify right side
    120.98x = 14,047.13
  5. Step 5: Solve for x
    x = 14,047.13/120.98
  6. Step 6: Final answer
    x = 116.11

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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.