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Finding the Fourth Proportional to 109.06, 163.26 and 94.48

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Solution

The fourth proportional to 109.06, 163.26 and 94.48 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.06 : 163.26 = 94.48 : x
  2. Step 2: Convert to fraction form
    109.06/163.26 = 94.48/x
  3. Step 3: Cross multiply
    109.06x = 163.26 × 94.48
  4. Step 4: Simplify right side
    109.06x = 15,424.80
  5. Step 5: Solve for x
    x = 15,424.80/109.06
  6. Step 6: Final answer
    x = 141.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.