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Finding the Fourth Proportional to 166.65, 229.96 and 96.71

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Solution

The fourth proportional to 166.65, 229.96 and 96.71 is: 133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.65 : 229.96 = 96.71 : x
  2. Step 2: Convert to fraction form
    166.65/229.96 = 96.71/x
  3. Step 3: Cross multiply
    166.65x = 229.96 × 96.71
  4. Step 4: Simplify right side
    166.65x = 22,239.43
  5. Step 5: Solve for x
    x = 22,239.43/166.65
  6. Step 6: Final answer
    x = 133.45

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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.