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Finding the Fourth Proportional to 166.10, 229.02 and 107.87

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Solution

The fourth proportional to 166.10, 229.02 and 107.87 is: 148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.10 : 229.02 = 107.87 : x
  2. Step 2: Convert to fraction form
    166.10/229.02 = 107.87/x
  3. Step 3: Cross multiply
    166.10x = 229.02 × 107.87
  4. Step 4: Simplify right side
    166.10x = 24,704.39
  5. Step 5: Solve for x
    x = 24,704.39/166.10
  6. Step 6: Final answer
    x = 148.73

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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.