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Finding the Fourth Proportional to 120.90, 166.68 and 115.50

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Solution

The fourth proportional to 120.90, 166.68 and 115.50 is: 159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.90 : 166.68 = 115.50 : x
  2. Step 2: Convert to fraction form
    120.90/166.68 = 115.50/x
  3. Step 3: Cross multiply
    120.90x = 166.68 × 115.50
  4. Step 4: Simplify right side
    120.90x = 19,251.54
  5. Step 5: Solve for x
    x = 19,251.54/120.90
  6. Step 6: Final answer
    x = 159.24

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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.