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Finding the Fourth Proportional to 166.12, 229.26 and 99.75

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Solution

The fourth proportional to 166.12, 229.26 and 99.75 is: 137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.12 : 229.26 = 99.75 : x
  2. Step 2: Convert to fraction form
    166.12/229.26 = 99.75/x
  3. Step 3: Cross multiply
    166.12x = 229.26 × 99.75
  4. Step 4: Simplify right side
    166.12x = 22,868.69
  5. Step 5: Solve for x
    x = 22,868.69/166.12
  6. Step 6: Final answer
    x = 137.66

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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.