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Finding the Fourth Proportional to 118.12, 163.06 and 68.98

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Solution

The fourth proportional to 118.12, 163.06 and 68.98 is: 95.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.12 : 163.06 = 68.98 : x
  2. Step 2: Convert to fraction form
    118.12/163.06 = 68.98/x
  3. Step 3: Cross multiply
    118.12x = 163.06 × 68.98
  4. Step 4: Simplify right side
    118.12x = 11,247.88
  5. Step 5: Solve for x
    x = 11,247.88/118.12
  6. Step 6: Final answer
    x = 95.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.