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Finding the Fourth Proportional to 167.36, 231.08 and 105.29

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Solution

The fourth proportional to 167.36, 231.08 and 105.29 is: 145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.36 : 231.08 = 105.29 : x
  2. Step 2: Convert to fraction form
    167.36/231.08 = 105.29/x
  3. Step 3: Cross multiply
    167.36x = 231.08 × 105.29
  4. Step 4: Simplify right side
    167.36x = 24,328.73
  5. Step 5: Solve for x
    x = 24,328.73/167.36
  6. Step 6: Final answer
    x = 145.37

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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.