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Finding the Fourth Proportional to 166.31, 229.46 and 100.77

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Solution

The fourth proportional to 166.31, 229.46 and 100.77 is: 139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.31 : 229.46 = 100.77 : x
  2. Step 2: Convert to fraction form
    166.31/229.46 = 100.77/x
  3. Step 3: Cross multiply
    166.31x = 229.46 × 100.77
  4. Step 4: Simplify right side
    166.31x = 23,122.68
  5. Step 5: Solve for x
    x = 23,122.68/166.31
  6. Step 6: Final answer
    x = 139.03

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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.