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Finding the Fourth Proportional to 109.89, 163.54 and 106.65

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Solution

The fourth proportional to 109.89, 163.54 and 106.65 is: 158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.89 : 163.54 = 106.65 : x
  2. Step 2: Convert to fraction form
    109.89/163.54 = 106.65/x
  3. Step 3: Cross multiply
    109.89x = 163.54 × 106.65
  4. Step 4: Simplify right side
    109.89x = 17,441.07
  5. Step 5: Solve for x
    x = 17,441.07/109.89
  6. Step 6: Final answer
    x = 158.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.