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Finding the Fourth Proportional to 166.73, 229.97 and 100.32

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Solution

The fourth proportional to 166.73, 229.97 and 100.32 is: 138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.73 : 229.97 = 100.32 : x
  2. Step 2: Convert to fraction form
    166.73/229.97 = 100.32/x
  3. Step 3: Cross multiply
    166.73x = 229.97 × 100.32
  4. Step 4: Simplify right side
    166.73x = 23,070.09
  5. Step 5: Solve for x
    x = 23,070.09/166.73
  6. Step 6: Final answer
    x = 138.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.