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Finding the Fourth Proportional to 166.52, 229.84 and 111.31

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Solution

The fourth proportional to 166.52, 229.84 and 111.31 is: 153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 229.84 = 111.31 : x
  2. Step 2: Convert to fraction form
    166.52/229.84 = 111.31/x
  3. Step 3: Cross multiply
    166.52x = 229.84 × 111.31
  4. Step 4: Simplify right side
    166.52x = 25,582.64
  5. Step 5: Solve for x
    x = 25,582.64/166.52
  6. Step 6: Final answer
    x = 153.63

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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.