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Finding the Fourth Proportional to 166.52, 229.76 and 97.56

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Solution

The fourth proportional to 166.52, 229.76 and 97.56 is: 134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 229.76 = 97.56 : x
  2. Step 2: Convert to fraction form
    166.52/229.76 = 97.56/x
  3. Step 3: Cross multiply
    166.52x = 229.76 × 97.56
  4. Step 4: Simplify right side
    166.52x = 22,415.39
  5. Step 5: Solve for x
    x = 22,415.39/166.52
  6. Step 6: Final answer
    x = 134.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.