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Finding the Fourth Proportional to 167.66, 231.38 and 96.77

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Solution

The fourth proportional to 167.66, 231.38 and 96.77 is: 133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.66 : 231.38 = 96.77 : x
  2. Step 2: Convert to fraction form
    167.66/231.38 = 96.77/x
  3. Step 3: Cross multiply
    167.66x = 231.38 × 96.77
  4. Step 4: Simplify right side
    167.66x = 22,390.16
  5. Step 5: Solve for x
    x = 22,390.16/167.66
  6. Step 6: Final answer
    x = 133.55

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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.