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Finding the Fourth Proportional to 108.23, 161.67 and 97.37

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Solution

The fourth proportional to 108.23, 161.67 and 97.37 is: 145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.23 : 161.67 = 97.37 : x
  2. Step 2: Convert to fraction form
    108.23/161.67 = 97.37/x
  3. Step 3: Cross multiply
    108.23x = 161.67 × 97.37
  4. Step 4: Simplify right side
    108.23x = 15,741.85
  5. Step 5: Solve for x
    x = 15,741.85/108.23
  6. Step 6: Final answer
    x = 145.45

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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.