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Finding the Fourth Proportional to 166.58, 229.82 and 125.16

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Solution

The fourth proportional to 166.58, 229.82 and 125.16 is: 172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.58 : 229.82 = 125.16 : x
  2. Step 2: Convert to fraction form
    166.58/229.82 = 125.16/x
  3. Step 3: Cross multiply
    166.58x = 229.82 × 125.16
  4. Step 4: Simplify right side
    166.58x = 28,763.65
  5. Step 5: Solve for x
    x = 28,763.65/166.58
  6. Step 6: Final answer
    x = 172.68

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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.