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Finding the Fourth Proportional to 108.10, 162.07 and 50.29

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Solution

The fourth proportional to 108.10, 162.07 and 50.29 is: 75.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.10 : 162.07 = 50.29 : x
  2. Step 2: Convert to fraction form
    108.10/162.07 = 50.29/x
  3. Step 3: Cross multiply
    108.10x = 162.07 × 50.29
  4. Step 4: Simplify right side
    108.10x = 8,149.97
  5. Step 5: Solve for x
    x = 8,149.97/108.10
  6. Step 6: Final answer
    x = 75.39

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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.