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Finding the Fourth Proportional to 108.77, 162.99 and 54.69

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Solution

The fourth proportional to 108.77, 162.99 and 54.69 is: 81.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.77 : 162.99 = 54.69 : x
  2. Step 2: Convert to fraction form
    108.77/162.99 = 54.69/x
  3. Step 3: Cross multiply
    108.77x = 162.99 × 54.69
  4. Step 4: Simplify right side
    108.77x = 8,913.92
  5. Step 5: Solve for x
    x = 8,913.92/108.77
  6. Step 6: Final answer
    x = 81.96

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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.