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Finding the Fourth Proportional to 108.82, 163.06 and 48

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Solution

The fourth proportional to 108.82, 163.06 and 48 is: 71.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.82 : 163.06 = 48 : x
  2. Step 2: Convert to fraction form
    108.82/163.06 = 48/x
  3. Step 3: Cross multiply
    108.82x = 163.06 × 48
  4. Step 4: Simplify right side
    108.82x = 7,826.88
  5. Step 5: Solve for x
    x = 7,826.88/108.82
  6. Step 6: Final answer
    x = 71.93

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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.