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Finding the Fourth Proportional to 106.46, 146.72 and 102.27

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Solution

The fourth proportional to 106.46, 146.72 and 102.27 is: 140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.46 : 146.72 = 102.27 : x
  2. Step 2: Convert to fraction form
    106.46/146.72 = 102.27/x
  3. Step 3: Cross multiply
    106.46x = 146.72 × 102.27
  4. Step 4: Simplify right side
    106.46x = 15,004.54
  5. Step 5: Solve for x
    x = 15,004.54/106.46
  6. Step 6: Final answer
    x = 140.95

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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.