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Finding the Fourth Proportional to 108.54, 163.58 and 107.60

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Solution

The fourth proportional to 108.54, 163.58 and 107.60 is: 162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.54 : 163.58 = 107.60 : x
  2. Step 2: Convert to fraction form
    108.54/163.58 = 107.60/x
  3. Step 3: Cross multiply
    108.54x = 163.58 × 107.60
  4. Step 4: Simplify right side
    108.54x = 17,599.85
  5. Step 5: Solve for x
    x = 17,599.85/108.54
  6. Step 6: Final answer
    x = 162.15

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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.