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Finding the Fourth Proportional to 118.23, 163.07 and 113.06

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Solution

The fourth proportional to 118.23, 163.07 and 113.06 is: 155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.23 : 163.07 = 113.06 : x
  2. Step 2: Convert to fraction form
    118.23/163.07 = 113.06/x
  3. Step 3: Cross multiply
    118.23x = 163.07 × 113.06
  4. Step 4: Simplify right side
    118.23x = 18,436.69
  5. Step 5: Solve for x
    x = 18,436.69/118.23
  6. Step 6: Final answer
    x = 155.94

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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.