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Finding the Fourth Proportional to 109.45, 163.08 and 106.55

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Solution

The fourth proportional to 109.45, 163.08 and 106.55 is: 158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.45 : 163.08 = 106.55 : x
  2. Step 2: Convert to fraction form
    109.45/163.08 = 106.55/x
  3. Step 3: Cross multiply
    109.45x = 163.08 × 106.55
  4. Step 4: Simplify right side
    109.45x = 17,375.64
  5. Step 5: Solve for x
    x = 17,375.64/109.45
  6. Step 6: Final answer
    x = 158.75

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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.