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Finding the Fourth Proportional to 166.86, 230.31 and 96.98

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Solution

The fourth proportional to 166.86, 230.31 and 96.98 is: 133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 230.31 = 96.98 : x
  2. Step 2: Convert to fraction form
    166.86/230.31 = 96.98/x
  3. Step 3: Cross multiply
    166.86x = 230.31 × 96.98
  4. Step 4: Simplify right side
    166.86x = 22,334.31
  5. Step 5: Solve for x
    x = 22,334.31/166.86
  6. Step 6: Final answer
    x = 133.85

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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.