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Finding the Fourth Proportional to 118.14, 163 and 76.68

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Solution

The fourth proportional to 118.14, 163 and 76.68 is: 105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.14 : 163 = 76.68 : x
  2. Step 2: Convert to fraction form
    118.14/163 = 76.68/x
  3. Step 3: Cross multiply
    118.14x = 163 × 76.68
  4. Step 4: Simplify right side
    118.14x = 12,498.84
  5. Step 5: Solve for x
    x = 12,498.84/118.14
  6. Step 6: Final answer
    x = 105.80

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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.