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Finding the Fourth Proportional to 166.03, 229.12 and 99.67

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Solution

The fourth proportional to 166.03, 229.12 and 99.67 is: 137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.03 : 229.12 = 99.67 : x
  2. Step 2: Convert to fraction form
    166.03/229.12 = 99.67/x
  3. Step 3: Cross multiply
    166.03x = 229.12 × 99.67
  4. Step 4: Simplify right side
    166.03x = 22,836.39
  5. Step 5: Solve for x
    x = 22,836.39/166.03
  6. Step 6: Final answer
    x = 137.54

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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.