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Finding the Fourth Proportional to 120.62, 166.56 and 87.80

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Solution

The fourth proportional to 120.62, 166.56 and 87.80 is: 121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.62 : 166.56 = 87.80 : x
  2. Step 2: Convert to fraction form
    120.62/166.56 = 87.80/x
  3. Step 3: Cross multiply
    120.62x = 166.56 × 87.80
  4. Step 4: Simplify right side
    120.62x = 14,623.97
  5. Step 5: Solve for x
    x = 14,623.97/120.62
  6. Step 6: Final answer
    x = 121.24

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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.