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Finding the Fourth Proportional to 167.70, 251.66 and 106.87

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Solution

The fourth proportional to 167.70, 251.66 and 106.87 is: 160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.70 : 251.66 = 106.87 : x
  2. Step 2: Convert to fraction form
    167.70/251.66 = 106.87/x
  3. Step 3: Cross multiply
    167.70x = 251.66 × 106.87
  4. Step 4: Simplify right side
    167.70x = 26,894.41
  5. Step 5: Solve for x
    x = 26,894.41/167.70
  6. Step 6: Final answer
    x = 160.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.