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Finding the Fourth Proportional to 166.50, 229.78 and 96.56

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Solution

The fourth proportional to 166.50, 229.78 and 96.56 is: 133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 229.78 = 96.56 : x
  2. Step 2: Convert to fraction form
    166.50/229.78 = 96.56/x
  3. Step 3: Cross multiply
    166.50x = 229.78 × 96.56
  4. Step 4: Simplify right side
    166.50x = 22,187.89
  5. Step 5: Solve for x
    x = 22,187.89/166.50
  6. Step 6: Final answer
    x = 133.26

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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.