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Finding the Fourth Proportional to 167.76, 231.66 and 109.68

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Solution

The fourth proportional to 167.76, 231.66 and 109.68 is: 151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.76 : 231.66 = 109.68 : x
  2. Step 2: Convert to fraction form
    167.76/231.66 = 109.68/x
  3. Step 3: Cross multiply
    167.76x = 231.66 × 109.68
  4. Step 4: Simplify right side
    167.76x = 25,408.47
  5. Step 5: Solve for x
    x = 25,408.47/167.76
  6. Step 6: Final answer
    x = 151.46

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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.