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Finding the Fourth Proportional to 167.35, 251.05 and 45.62

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Solution

The fourth proportional to 167.35, 251.05 and 45.62 is: 68.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.35 : 251.05 = 45.62 : x
  2. Step 2: Convert to fraction form
    167.35/251.05 = 45.62/x
  3. Step 3: Cross multiply
    167.35x = 251.05 × 45.62
  4. Step 4: Simplify right side
    167.35x = 11,451.53
  5. Step 5: Solve for x
    x = 11,451.53/167.35
  6. Step 6: Final answer
    x = 68.43

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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.