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Finding the Fourth Proportional to 105.96, 146.26 and 66.62

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Solution

The fourth proportional to 105.96, 146.26 and 66.62 is: 91.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.96 : 146.26 = 66.62 : x
  2. Step 2: Convert to fraction form
    105.96/146.26 = 66.62/x
  3. Step 3: Cross multiply
    105.96x = 146.26 × 66.62
  4. Step 4: Simplify right side
    105.96x = 9,743.92
  5. Step 5: Solve for x
    x = 9,743.92/105.96
  6. Step 6: Final answer
    x = 91.96

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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.