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Finding the Fourth Proportional to 166.23, 229.43 and 111.06

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Solution

The fourth proportional to 166.23, 229.43 and 111.06 is: 153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.23 : 229.43 = 111.06 : x
  2. Step 2: Convert to fraction form
    166.23/229.43 = 111.06/x
  3. Step 3: Cross multiply
    166.23x = 229.43 × 111.06
  4. Step 4: Simplify right side
    166.23x = 25,480.77
  5. Step 5: Solve for x
    x = 25,480.77/166.23
  6. Step 6: Final answer
    x = 153.29

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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.