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Finding the Fourth Proportional to 108.83, 162.99 and 77.91

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Solution

The fourth proportional to 108.83, 162.99 and 77.91 is: 116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.83 : 162.99 = 77.91 : x
  2. Step 2: Convert to fraction form
    108.83/162.99 = 77.91/x
  3. Step 3: Cross multiply
    108.83x = 162.99 × 77.91
  4. Step 4: Simplify right side
    108.83x = 12,698.55
  5. Step 5: Solve for x
    x = 12,698.55/108.83
  6. Step 6: Final answer
    x = 116.69

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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.