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Finding the Fourth Proportional to 108.10, 162.22 and 50.32

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Solution

The fourth proportional to 108.10, 162.22 and 50.32 is: 75.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.10 : 162.22 = 50.32 : x
  2. Step 2: Convert to fraction form
    108.10/162.22 = 50.32/x
  3. Step 3: Cross multiply
    108.10x = 162.22 × 50.32
  4. Step 4: Simplify right side
    108.10x = 8,162.91
  5. Step 5: Solve for x
    x = 8,162.91/108.10
  6. Step 6: Final answer
    x = 75.51

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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.