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Finding the Fourth Proportional to 166.37, 249.55 and 68.87

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Solution

The fourth proportional to 166.37, 249.55 and 68.87 is: 103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.37 : 249.55 = 68.87 : x
  2. Step 2: Convert to fraction form
    166.37/249.55 = 68.87/x
  3. Step 3: Cross multiply
    166.37x = 249.55 × 68.87
  4. Step 4: Simplify right side
    166.37x = 17,186.96
  5. Step 5: Solve for x
    x = 17,186.96/166.37
  6. Step 6: Final answer
    x = 103.31

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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.