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Finding the Fourth Proportional to 166.35, 229.58 and 92.69

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Solution

The fourth proportional to 166.35, 229.58 and 92.69 is: 127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.35 : 229.58 = 92.69 : x
  2. Step 2: Convert to fraction form
    166.35/229.58 = 92.69/x
  3. Step 3: Cross multiply
    166.35x = 229.58 × 92.69
  4. Step 4: Simplify right side
    166.35x = 21,278.16
  5. Step 5: Solve for x
    x = 21,278.16/166.35
  6. Step 6: Final answer
    x = 127.91

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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.