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Finding the Fourth Proportional to 110.43, 166.24 and 94.77

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Solution

The fourth proportional to 110.43, 166.24 and 94.77 is: 142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.43 : 166.24 = 94.77 : x
  2. Step 2: Convert to fraction form
    110.43/166.24 = 94.77/x
  3. Step 3: Cross multiply
    110.43x = 166.24 × 94.77
  4. Step 4: Simplify right side
    110.43x = 15,754.56
  5. Step 5: Solve for x
    x = 15,754.56/110.43
  6. Step 6: Final answer
    x = 142.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.