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Finding the Fourth Proportional to 118.94, 177.37 and 105.83

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Solution

The fourth proportional to 118.94, 177.37 and 105.83 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.94 : 177.37 = 105.83 : x
  2. Step 2: Convert to fraction form
    118.94/177.37 = 105.83/x
  3. Step 3: Cross multiply
    118.94x = 177.37 × 105.83
  4. Step 4: Simplify right side
    118.94x = 18,771.07
  5. Step 5: Solve for x
    x = 18,771.07/118.94
  6. Step 6: Final answer
    x = 157.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.