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Finding the Fourth Proportional to 108.29, 162.38 and 36.11

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Solution

The fourth proportional to 108.29, 162.38 and 36.11 is: 54.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.29 : 162.38 = 36.11 : x
  2. Step 2: Convert to fraction form
    108.29/162.38 = 36.11/x
  3. Step 3: Cross multiply
    108.29x = 162.38 × 36.11
  4. Step 4: Simplify right side
    108.29x = 5,862.82
  5. Step 5: Solve for x
    x = 5,862.82/108.29
  6. Step 6: Final answer
    x = 54.14

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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.