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Finding the Fourth Proportional to 108.42, 161.85 and 102.30

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Solution

The fourth proportional to 108.42, 161.85 and 102.30 is: 152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 161.85 = 102.30 : x
  2. Step 2: Convert to fraction form
    108.42/161.85 = 102.30/x
  3. Step 3: Cross multiply
    108.42x = 161.85 × 102.30
  4. Step 4: Simplify right side
    108.42x = 16,557.26
  5. Step 5: Solve for x
    x = 16,557.26/108.42
  6. Step 6: Final answer
    x = 152.71

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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.