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Finding the Fourth Proportional to 108.82, 163.86 and 78.59

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Solution

The fourth proportional to 108.82, 163.86 and 78.59 is: 118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.82 : 163.86 = 78.59 : x
  2. Step 2: Convert to fraction form
    108.82/163.86 = 78.59/x
  3. Step 3: Cross multiply
    108.82x = 163.86 × 78.59
  4. Step 4: Simplify right side
    108.82x = 12,877.76
  5. Step 5: Solve for x
    x = 12,877.76/108.82
  6. Step 6: Final answer
    x = 118.35

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