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Finding the Fourth Proportional to 105.98, 146.26 and 61.73

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Solution

The fourth proportional to 105.98, 146.26 and 61.73 is: 85.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.98 : 146.26 = 61.73 : x
  2. Step 2: Convert to fraction form
    105.98/146.26 = 61.73/x
  3. Step 3: Cross multiply
    105.98x = 146.26 × 61.73
  4. Step 4: Simplify right side
    105.98x = 9,028.63
  5. Step 5: Solve for x
    x = 9,028.63/105.98
  6. Step 6: Final answer
    x = 85.19

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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.