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Finding the Fourth Proportional to 105.97, 146.83 and 103.47

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Solution

The fourth proportional to 105.97, 146.83 and 103.47 is: 143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.97 : 146.83 = 103.47 : x
  2. Step 2: Convert to fraction form
    105.97/146.83 = 103.47/x
  3. Step 3: Cross multiply
    105.97x = 146.83 × 103.47
  4. Step 4: Simplify right side
    105.97x = 15,192.50
  5. Step 5: Solve for x
    x = 15,192.50/105.97
  6. Step 6: Final answer
    x = 143.37

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.