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Finding the Fourth Proportional to 108.09, 161.24 and 101.93

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Solution

The fourth proportional to 108.09, 161.24 and 101.93 is: 152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.09 : 161.24 = 101.93 : x
  2. Step 2: Convert to fraction form
    108.09/161.24 = 101.93/x
  3. Step 3: Cross multiply
    108.09x = 161.24 × 101.93
  4. Step 4: Simplify right side
    108.09x = 16,433.88
  5. Step 5: Solve for x
    x = 16,433.88/108.09
  6. Step 6: Final answer
    x = 152.04

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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.