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Finding the Fourth Proportional to 166.10, 229.17 and 103.86

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Solution

The fourth proportional to 166.10, 229.17 and 103.86 is: 143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.10 : 229.17 = 103.86 : x
  2. Step 2: Convert to fraction form
    166.10/229.17 = 103.86/x
  3. Step 3: Cross multiply
    166.10x = 229.17 × 103.86
  4. Step 4: Simplify right side
    166.10x = 23,801.60
  5. Step 5: Solve for x
    x = 23,801.60/166.10
  6. Step 6: Final answer
    x = 143.30

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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.