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Finding the Fourth Proportional to 108.74, 163.90 and 102.11

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Solution

The fourth proportional to 108.74, 163.90 and 102.11 is: 153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.74 : 163.90 = 102.11 : x
  2. Step 2: Convert to fraction form
    108.74/163.90 = 102.11/x
  3. Step 3: Cross multiply
    108.74x = 163.90 × 102.11
  4. Step 4: Simplify right side
    108.74x = 16,735.77
  5. Step 5: Solve for x
    x = 16,735.77/108.74
  6. Step 6: Final answer
    x = 153.90

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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.