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Finding the Fourth Proportional to 108.35, 163.32 and 101.74

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Solution

The fourth proportional to 108.35, 163.32 and 101.74 is: 153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.35 : 163.32 = 101.74 : x
  2. Step 2: Convert to fraction form
    108.35/163.32 = 101.74/x
  3. Step 3: Cross multiply
    108.35x = 163.32 × 101.74
  4. Step 4: Simplify right side
    108.35x = 16,616.18
  5. Step 5: Solve for x
    x = 16,616.18/108.35
  6. Step 6: Final answer
    x = 153.36

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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.