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Finding the Fourth Proportional to 109.72, 163.46 and 102.73

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Solution

The fourth proportional to 109.72, 163.46 and 102.73 is: 153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.72 : 163.46 = 102.73 : x
  2. Step 2: Convert to fraction form
    109.72/163.46 = 102.73/x
  3. Step 3: Cross multiply
    109.72x = 163.46 × 102.73
  4. Step 4: Simplify right side
    109.72x = 16,792.25
  5. Step 5: Solve for x
    x = 16,792.25/109.72
  6. Step 6: Final answer
    x = 153.05

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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.