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Finding the Fourth Proportional to 166.46, 229.64 and 125.08

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Solution

The fourth proportional to 166.46, 229.64 and 125.08 is: 172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.46 : 229.64 = 125.08 : x
  2. Step 2: Convert to fraction form
    166.46/229.64 = 125.08/x
  3. Step 3: Cross multiply
    166.46x = 229.64 × 125.08
  4. Step 4: Simplify right side
    166.46x = 28,722.17
  5. Step 5: Solve for x
    x = 28,722.17/166.46
  6. Step 6: Final answer
    x = 172.55

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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.