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Finding the Fourth Proportional to 166.12, 248.96 and 89.03

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Solution

The fourth proportional to 166.12, 248.96 and 89.03 is: 133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.12 : 248.96 = 89.03 : x
  2. Step 2: Convert to fraction form
    166.12/248.96 = 89.03/x
  3. Step 3: Cross multiply
    166.12x = 248.96 × 89.03
  4. Step 4: Simplify right side
    166.12x = 22,165.75
  5. Step 5: Solve for x
    x = 22,165.75/166.12
  6. Step 6: Final answer
    x = 133.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.