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Finding the Fourth Proportional to 118.87, 164.07 and 92.64

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Solution

The fourth proportional to 118.87, 164.07 and 92.64 is: 127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.87 : 164.07 = 92.64 : x
  2. Step 2: Convert to fraction form
    118.87/164.07 = 92.64/x
  3. Step 3: Cross multiply
    118.87x = 164.07 × 92.64
  4. Step 4: Simplify right side
    118.87x = 15,199.44
  5. Step 5: Solve for x
    x = 15,199.44/118.87
  6. Step 6: Final answer
    x = 127.87

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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.