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Finding the Fourth Proportional to 166.56, 249.52 and 85.28

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Solution

The fourth proportional to 166.56, 249.52 and 85.28 is: 127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.56 : 249.52 = 85.28 : x
  2. Step 2: Convert to fraction form
    166.56/249.52 = 85.28/x
  3. Step 3: Cross multiply
    166.56x = 249.52 × 85.28
  4. Step 4: Simplify right side
    166.56x = 21,279.07
  5. Step 5: Solve for x
    x = 21,279.07/166.56
  6. Step 6: Final answer
    x = 127.76

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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.