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Finding the Fourth Proportional to 167.51, 231.08 and 105.31

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Solution

The fourth proportional to 167.51, 231.08 and 105.31 is: 145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.51 : 231.08 = 105.31 : x
  2. Step 2: Convert to fraction form
    167.51/231.08 = 105.31/x
  3. Step 3: Cross multiply
    167.51x = 231.08 × 105.31
  4. Step 4: Simplify right side
    167.51x = 24,333.88
  5. Step 5: Solve for x
    x = 24,333.88/167.51
  6. Step 6: Final answer
    x = 145.27

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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.