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Finding the Fourth Proportional to 120.85, 166.65 and 100.15

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Solution

The fourth proportional to 120.85, 166.65 and 100.15 is: 138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.85 : 166.65 = 100.15 : x
  2. Step 2: Convert to fraction form
    120.85/166.65 = 100.15/x
  3. Step 3: Cross multiply
    120.85x = 166.65 × 100.15
  4. Step 4: Simplify right side
    120.85x = 16,690.00
  5. Step 5: Solve for x
    x = 16,690.00/120.85
  6. Step 6: Final answer
    x = 138.11

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