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Finding the Fourth Proportional to 108.19, 162.28 and 27.03

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Solution

The fourth proportional to 108.19, 162.28 and 27.03 is: 40.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.19 : 162.28 = 27.03 : x
  2. Step 2: Convert to fraction form
    108.19/162.28 = 27.03/x
  3. Step 3: Cross multiply
    108.19x = 162.28 × 27.03
  4. Step 4: Simplify right side
    108.19x = 4,385.96
  5. Step 5: Solve for x
    x = 4,385.96/108.19
  6. Step 6: Final answer
    x = 40.54

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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.