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Finding the Fourth Proportional to 108.76, 163.23 and 43.82

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Solution

The fourth proportional to 108.76, 163.23 and 43.82 is: 65.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.76 : 163.23 = 43.82 : x
  2. Step 2: Convert to fraction form
    108.76/163.23 = 43.82/x
  3. Step 3: Cross multiply
    108.76x = 163.23 × 43.82
  4. Step 4: Simplify right side
    108.76x = 7,152.74
  5. Step 5: Solve for x
    x = 7,152.74/108.76
  6. Step 6: Final answer
    x = 65.77

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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.