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Finding the Fourth Proportional to 105.96, 146.29 and 66.63

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Solution

The fourth proportional to 105.96, 146.29 and 66.63 is: 91.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.96 : 146.29 = 66.63 : x
  2. Step 2: Convert to fraction form
    105.96/146.29 = 66.63/x
  3. Step 3: Cross multiply
    105.96x = 146.29 × 66.63
  4. Step 4: Simplify right side
    105.96x = 9,747.30
  5. Step 5: Solve for x
    x = 9,747.30/105.96
  6. Step 6: Final answer
    x = 91.99

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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.