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Finding the Fourth Proportional to 167.84, 231.73 and 105.76

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Solution

The fourth proportional to 167.84, 231.73 and 105.76 is: 146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.84 : 231.73 = 105.76 : x
  2. Step 2: Convert to fraction form
    167.84/231.73 = 105.76/x
  3. Step 3: Cross multiply
    167.84x = 231.73 × 105.76
  4. Step 4: Simplify right side
    167.84x = 24,507.76
  5. Step 5: Solve for x
    x = 24,507.76/167.84
  6. Step 6: Final answer
    x = 146.02

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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.