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Finding the Fourth Proportional to 108.63, 162.86 and 54.59

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Solution

The fourth proportional to 108.63, 162.86 and 54.59 is: 81.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.63 : 162.86 = 54.59 : x
  2. Step 2: Convert to fraction form
    108.63/162.86 = 54.59/x
  3. Step 3: Cross multiply
    108.63x = 162.86 × 54.59
  4. Step 4: Simplify right side
    108.63x = 8,889.44
  5. Step 5: Solve for x
    x = 8,889.44/108.63
  6. Step 6: Final answer
    x = 81.83

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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.