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Finding the Fourth Proportional to 167.58, 231.30 and 102.14

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Solution

The fourth proportional to 167.58, 231.30 and 102.14 is: 140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.58 : 231.30 = 102.14 : x
  2. Step 2: Convert to fraction form
    167.58/231.30 = 102.14/x
  3. Step 3: Cross multiply
    167.58x = 231.30 × 102.14
  4. Step 4: Simplify right side
    167.58x = 23,623.83
  5. Step 5: Solve for x
    x = 23,623.83/167.58
  6. Step 6: Final answer
    x = 140.97

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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.