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Finding the Fourth Proportional to 118.16, 163.12 and 83.36

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Solution

The fourth proportional to 118.16, 163.12 and 83.36 is: 115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.16 : 163.12 = 83.36 : x
  2. Step 2: Convert to fraction form
    118.16/163.12 = 83.36/x
  3. Step 3: Cross multiply
    118.16x = 163.12 × 83.36
  4. Step 4: Simplify right side
    118.16x = 13,597.68
  5. Step 5: Solve for x
    x = 13,597.68/118.16
  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.