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Finding the Fourth Proportional to 166.47, 229.69 and 96.53

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Solution

The fourth proportional to 166.47, 229.69 and 96.53 is: 133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.47 : 229.69 = 96.53 : x
  2. Step 2: Convert to fraction form
    166.47/229.69 = 96.53/x
  3. Step 3: Cross multiply
    166.47x = 229.69 × 96.53
  4. Step 4: Simplify right side
    166.47x = 22,171.98
  5. Step 5: Solve for x
    x = 22,171.98/166.47
  6. Step 6: Final answer
    x = 133.19

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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.