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Finding the Fourth Proportional to 166.12, 229.16 and 110.80

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Solution

The fourth proportional to 166.12, 229.16 and 110.80 is: 152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.12 : 229.16 = 110.80 : x
  2. Step 2: Convert to fraction form
    166.12/229.16 = 110.80/x
  3. Step 3: Cross multiply
    166.12x = 229.16 × 110.80
  4. Step 4: Simplify right side
    166.12x = 25,390.93
  5. Step 5: Solve for x
    x = 25,390.93/166.12
  6. Step 6: Final answer
    x = 152.85

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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.