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Finding the Fourth Proportional to 166.79, 230.15 and 96.84

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Solution

The fourth proportional to 166.79, 230.15 and 96.84 is: 133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.79 : 230.15 = 96.84 : x
  2. Step 2: Convert to fraction form
    166.79/230.15 = 96.84/x
  3. Step 3: Cross multiply
    166.79x = 230.15 × 96.84
  4. Step 4: Simplify right side
    166.79x = 22,288.58
  5. Step 5: Solve for x
    x = 22,288.58/166.79
  6. Step 6: Final answer
    x = 133.64

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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.