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Finding the Fourth Proportional to 108.37, 161.34 and 106.85

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Solution

The fourth proportional to 108.37, 161.34 and 106.85 is: 159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.37 : 161.34 = 106.85 : x
  2. Step 2: Convert to fraction form
    108.37/161.34 = 106.85/x
  3. Step 3: Cross multiply
    108.37x = 161.34 × 106.85
  4. Step 4: Simplify right side
    108.37x = 17,239.18
  5. Step 5: Solve for x
    x = 17,239.18/108.37
  6. Step 6: Final answer
    x = 159.08

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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.