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Finding the Fourth Proportional to 118.83, 163.93 and 79.48

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Solution

The fourth proportional to 118.83, 163.93 and 79.48 is: 109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.83 : 163.93 = 79.48 : x
  2. Step 2: Convert to fraction form
    118.83/163.93 = 79.48/x
  3. Step 3: Cross multiply
    118.83x = 163.93 × 79.48
  4. Step 4: Simplify right side
    118.83x = 13,027.94
  5. Step 5: Solve for x
    x = 13,027.94/118.83
  6. Step 6: Final answer
    x = 109.64

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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.