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Finding the Fourth Proportional to 108.31, 162.32 and 49.68

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Solution

The fourth proportional to 108.31, 162.32 and 49.68 is: 74.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.31 : 162.32 = 49.68 : x
  2. Step 2: Convert to fraction form
    108.31/162.32 = 49.68/x
  3. Step 3: Cross multiply
    108.31x = 162.32 × 49.68
  4. Step 4: Simplify right side
    108.31x = 8,063.12
  5. Step 5: Solve for x
    x = 8,063.12/108.31
  6. Step 6: Final answer
    x = 74.44

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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.