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Finding the Fourth Proportional to 167.79, 231.47 and 105.59

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Solution

The fourth proportional to 167.79, 231.47 and 105.59 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.79 : 231.47 = 105.59 : x
  2. Step 2: Convert to fraction form
    167.79/231.47 = 105.59/x
  3. Step 3: Cross multiply
    167.79x = 231.47 × 105.59
  4. Step 4: Simplify right side
    167.79x = 24,440.92
  5. Step 5: Solve for x
    x = 24,440.92/167.79
  6. Step 6: Final answer
    x = 145.66

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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.