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Finding the Fourth Proportional to 108.81, 163.27 and 51.00

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Solution

The fourth proportional to 108.81, 163.27 and 51.00 is: 76.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.81 : 163.27 = 51.00 : x
  2. Step 2: Convert to fraction form
    108.81/163.27 = 51.00/x
  3. Step 3: Cross multiply
    108.81x = 163.27 × 51.00
  4. Step 4: Simplify right side
    108.81x = 8,325.93
  5. Step 5: Solve for x
    x = 8,325.93/108.81
  6. Step 6: Final answer
    x = 76.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.