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Finding the Fourth Proportional to 108.23, 162.23 and 53.96

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Solution

The fourth proportional to 108.23, 162.23 and 53.96 is: 80.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.23 : 162.23 = 53.96 : x
  2. Step 2: Convert to fraction form
    108.23/162.23 = 53.96/x
  3. Step 3: Cross multiply
    108.23x = 162.23 × 53.96
  4. Step 4: Simplify right side
    108.23x = 8,752.85
  5. Step 5: Solve for x
    x = 8,752.85/108.23
  6. Step 6: Final answer
    x = 80.88

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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.