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Finding the Fourth Proportional to 118.68, 176.96 and 105.84

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Solution

The fourth proportional to 118.68, 176.96 and 105.84 is: 157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.68 : 176.96 = 105.84 : x
  2. Step 2: Convert to fraction form
    118.68/176.96 = 105.84/x
  3. Step 3: Cross multiply
    118.68x = 176.96 × 105.84
  4. Step 4: Simplify right side
    118.68x = 18,729.45
  5. Step 5: Solve for x
    x = 18,729.45/118.68
  6. Step 6: Final answer
    x = 157.81

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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.