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Finding the Fourth Proportional to 108.66, 162.84 and 77.43

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Solution

The fourth proportional to 108.66, 162.84 and 77.43 is: 116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.66 : 162.84 = 77.43 : x
  2. Step 2: Convert to fraction form
    108.66/162.84 = 77.43/x
  3. Step 3: Cross multiply
    108.66x = 162.84 × 77.43
  4. Step 4: Simplify right side
    108.66x = 12,608.70
  5. Step 5: Solve for x
    x = 12,608.70/108.66
  6. Step 6: Final answer
    x = 116.04

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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.