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Finding the Fourth Proportional to 108.44, 163.48 and 102.56

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Solution

The fourth proportional to 108.44, 163.48 and 102.56 is: 154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.44 : 163.48 = 102.56 : x
  2. Step 2: Convert to fraction form
    108.44/163.48 = 102.56/x
  3. Step 3: Cross multiply
    108.44x = 163.48 × 102.56
  4. Step 4: Simplify right side
    108.44x = 16,766.51
  5. Step 5: Solve for x
    x = 16,766.51/108.44
  6. Step 6: Final answer
    x = 154.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.