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Finding the Fourth Proportional to 118.75, 164.01 and 79.87

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Solution

The fourth proportional to 118.75, 164.01 and 79.87 is: 110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.75 : 164.01 = 79.87 : x
  2. Step 2: Convert to fraction form
    118.75/164.01 = 79.87/x
  3. Step 3: Cross multiply
    118.75x = 164.01 × 79.87
  4. Step 4: Simplify right side
    118.75x = 13,099.48
  5. Step 5: Solve for x
    x = 13,099.48/118.75
  6. Step 6: Final answer
    x = 110.31

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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.