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Finding the Fourth Proportional to 166.49, 229.77 and 92.83

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Solution

The fourth proportional to 166.49, 229.77 and 92.83 is: 128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.49 : 229.77 = 92.83 : x
  2. Step 2: Convert to fraction form
    166.49/229.77 = 92.83/x
  3. Step 3: Cross multiply
    166.49x = 229.77 × 92.83
  4. Step 4: Simplify right side
    166.49x = 21,327.94
  5. Step 5: Solve for x
    x = 21,327.94/166.49
  6. Step 6: Final answer
    x = 128.10

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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.