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Finding the Fourth Proportional to 166.56, 229.91 and 96.64

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Solution

The fourth proportional to 166.56, 229.91 and 96.64 is: 133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.56 : 229.91 = 96.64 : x
  2. Step 2: Convert to fraction form
    166.56/229.91 = 96.64/x
  3. Step 3: Cross multiply
    166.56x = 229.91 × 96.64
  4. Step 4: Simplify right side
    166.56x = 22,218.24
  5. Step 5: Solve for x
    x = 22,218.24/166.56
  6. Step 6: Final answer
    x = 133.39

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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.