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Finding the Fourth Proportional to 166.02, 229.09 and 100.49

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Solution

The fourth proportional to 166.02, 229.09 and 100.49 is: 138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 229.09 = 100.49 : x
  2. Step 2: Convert to fraction form
    166.02/229.09 = 100.49/x
  3. Step 3: Cross multiply
    166.02x = 229.09 × 100.49
  4. Step 4: Simplify right side
    166.02x = 23,021.25
  5. Step 5: Solve for x
    x = 23,021.25/166.02
  6. Step 6: Final answer
    x = 138.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.