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Finding the Fourth Proportional to 118.29, 163.20 and 83.41

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Solution

The fourth proportional to 118.29, 163.20 and 83.41 is: 115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.29 : 163.20 = 83.41 : x
  2. Step 2: Convert to fraction form
    118.29/163.20 = 83.41/x
  3. Step 3: Cross multiply
    118.29x = 163.20 × 83.41
  4. Step 4: Simplify right side
    118.29x = 13,612.51
  5. Step 5: Solve for x
    x = 13,612.51/118.29
  6. Step 6: Final answer
    x = 115.08

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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.