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Finding the Fourth Proportional to 166.29, 229.47 and 92.61

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Solution

The fourth proportional to 166.29, 229.47 and 92.61 is: 127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.29 : 229.47 = 92.61 : x
  2. Step 2: Convert to fraction form
    166.29/229.47 = 92.61/x
  3. Step 3: Cross multiply
    166.29x = 229.47 × 92.61
  4. Step 4: Simplify right side
    166.29x = 21,251.22
  5. Step 5: Solve for x
    x = 21,251.22/166.29
  6. Step 6: Final answer
    x = 127.80

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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.