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Finding the Fourth Proportional to 105.85, 146.03 and 66.49

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Solution

The fourth proportional to 105.85, 146.03 and 66.49 is: 91.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.85 : 146.03 = 66.49 : x
  2. Step 2: Convert to fraction form
    105.85/146.03 = 66.49/x
  3. Step 3: Cross multiply
    105.85x = 146.03 × 66.49
  4. Step 4: Simplify right side
    105.85x = 9,709.34
  5. Step 5: Solve for x
    x = 9,709.34/105.85
  6. Step 6: Final answer
    x = 91.73

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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.