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Finding the Fourth Proportional to 166.16, 229.16 and 107.92

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Solution

The fourth proportional to 166.16, 229.16 and 107.92 is: 148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.16 : 229.16 = 107.92 : x
  2. Step 2: Convert to fraction form
    166.16/229.16 = 107.92/x
  3. Step 3: Cross multiply
    166.16x = 229.16 × 107.92
  4. Step 4: Simplify right side
    166.16x = 24,730.95
  5. Step 5: Solve for x
    x = 24,730.95/166.16
  6. Step 6: Final answer
    x = 148.84

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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.