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Finding the Fourth Proportional to 108.56, 163.76 and 108.56

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Solution

The fourth proportional to 108.56, 163.76 and 108.56 is: 163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.56 : 163.76 = 108.56 : x
  2. Step 2: Convert to fraction form
    108.56/163.76 = 108.56/x
  3. Step 3: Cross multiply
    108.56x = 163.76 × 108.56
  4. Step 4: Simplify right side
    108.56x = 17,777.79
  5. Step 5: Solve for x
    x = 17,777.79/108.56
  6. Step 6: Final answer
    x = 163.76

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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.