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Finding the Fourth Proportional to 166.52, 229.81 and 92.85

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Solution

The fourth proportional to 166.52, 229.81 and 92.85 is: 128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 229.81 = 92.85 : x
  2. Step 2: Convert to fraction form
    166.52/229.81 = 92.85/x
  3. Step 3: Cross multiply
    166.52x = 229.81 × 92.85
  4. Step 4: Simplify right side
    166.52x = 21,337.86
  5. Step 5: Solve for x
    x = 21,337.86/166.52
  6. Step 6: Final answer
    x = 128.14

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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.