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Finding the Fourth Proportional to 166.44, 229.62 and 100.95

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Solution

The fourth proportional to 166.44, 229.62 and 100.95 is: 139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.44 : 229.62 = 100.95 : x
  2. Step 2: Convert to fraction form
    166.44/229.62 = 100.95/x
  3. Step 3: Cross multiply
    166.44x = 229.62 × 100.95
  4. Step 4: Simplify right side
    166.44x = 23,180.14
  5. Step 5: Solve for x
    x = 23,180.14/166.44
  6. Step 6: Final answer
    x = 139.27

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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.