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Finding the Fourth Proportional to 118.59, 163.58 and 106.84

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Solution

The fourth proportional to 118.59, 163.58 and 106.84 is: 147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.59 : 163.58 = 106.84 : x
  2. Step 2: Convert to fraction form
    118.59/163.58 = 106.84/x
  3. Step 3: Cross multiply
    118.59x = 163.58 × 106.84
  4. Step 4: Simplify right side
    118.59x = 17,476.89
  5. Step 5: Solve for x
    x = 17,476.89/118.59
  6. Step 6: Final answer
    x = 147.37

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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.