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Finding the Fourth Proportional to 108.43, 161.52 and 102.66

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Solution

The fourth proportional to 108.43, 161.52 and 102.66 is: 152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.43 : 161.52 = 102.66 : x
  2. Step 2: Convert to fraction form
    108.43/161.52 = 102.66/x
  3. Step 3: Cross multiply
    108.43x = 161.52 × 102.66
  4. Step 4: Simplify right side
    108.43x = 16,581.64
  5. Step 5: Solve for x
    x = 16,581.64/108.43
  6. Step 6: Final answer
    x = 152.92

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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.