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Finding the Fourth Proportional to 108.31, 161.68 and 95.34

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Solution

The fourth proportional to 108.31, 161.68 and 95.34 is: 142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.31 : 161.68 = 95.34 : x
  2. Step 2: Convert to fraction form
    108.31/161.68 = 95.34/x
  3. Step 3: Cross multiply
    108.31x = 161.68 × 95.34
  4. Step 4: Simplify right side
    108.31x = 15,413.29
  5. Step 5: Solve for x
    x = 15,413.29/108.31
  6. Step 6: Final answer
    x = 142.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.