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Finding the Fourth Proportional to 108.96, 163.58 and 68.25

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Solution

The fourth proportional to 108.96, 163.58 and 68.25 is: 102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.96 : 163.58 = 68.25 : x
  2. Step 2: Convert to fraction form
    108.96/163.58 = 68.25/x
  3. Step 3: Cross multiply
    108.96x = 163.58 × 68.25
  4. Step 4: Simplify right side
    108.96x = 11,164.34
  5. Step 5: Solve for x
    x = 11,164.34/108.96
  6. Step 6: Final answer
    x = 102.46

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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.