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Finding the Fourth Proportional to 166.54, 229.80 and 96.58

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Solution

The fourth proportional to 166.54, 229.80 and 96.58 is: 133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.54 : 229.80 = 96.58 : x
  2. Step 2: Convert to fraction form
    166.54/229.80 = 96.58/x
  3. Step 3: Cross multiply
    166.54x = 229.80 × 96.58
  4. Step 4: Simplify right side
    166.54x = 22,194.08
  5. Step 5: Solve for x
    x = 22,194.08/166.54
  6. Step 6: Final answer
    x = 133.27

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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.