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Finding the Fourth Proportional to 111.50, 166.96 and 97.66

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Solution

The fourth proportional to 111.50, 166.96 and 97.66 is: 146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.50 : 166.96 = 97.66 : x
  2. Step 2: Convert to fraction form
    111.50/166.96 = 97.66/x
  3. Step 3: Cross multiply
    111.50x = 166.96 × 97.66
  4. Step 4: Simplify right side
    111.50x = 16,304.65
  5. Step 5: Solve for x
    x = 16,304.65/111.50
  6. Step 6: Final answer
    x = 146.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.