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Finding the Fourth Proportional to 108.02, 161.91 and 90.80

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Solution

The fourth proportional to 108.02, 161.91 and 90.80 is: 136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.02 : 161.91 = 90.80 : x
  2. Step 2: Convert to fraction form
    108.02/161.91 = 90.80/x
  3. Step 3: Cross multiply
    108.02x = 161.91 × 90.80
  4. Step 4: Simplify right side
    108.02x = 14,700.62
  5. Step 5: Solve for x
    x = 14,700.62/108.02
  6. Step 6: Final answer
    x = 136.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.