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Finding the Fourth Proportional to 108.01, 161.97 and 42.11

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Solution

The fourth proportional to 108.01, 161.97 and 42.11 is: 63.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.01 : 161.97 = 42.11 : x
  2. Step 2: Convert to fraction form
    108.01/161.97 = 42.11/x
  3. Step 3: Cross multiply
    108.01x = 161.97 × 42.11
  4. Step 4: Simplify right side
    108.01x = 6,820.65
  5. Step 5: Solve for x
    x = 6,820.65/108.01
  6. Step 6: Final answer
    x = 63.15

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