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Finding the Fourth Proportional to 166.02, 249.15 and 85.02

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Solution

The fourth proportional to 166.02, 249.15 and 85.02 is: 127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 249.15 = 85.02 : x
  2. Step 2: Convert to fraction form
    166.02/249.15 = 85.02/x
  3. Step 3: Cross multiply
    166.02x = 249.15 × 85.02
  4. Step 4: Simplify right side
    166.02x = 21,182.73
  5. Step 5: Solve for x
    x = 21,182.73/166.02
  6. Step 6: Final answer
    x = 127.59

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Why These Related Problems?

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