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Finding the Fourth Proportional to 118.90, 164.07 and 66.44

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Solution

The fourth proportional to 118.90, 164.07 and 66.44 is: 91.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.90 : 164.07 = 66.44 : x
  2. Step 2: Convert to fraction form
    118.90/164.07 = 66.44/x
  3. Step 3: Cross multiply
    118.90x = 164.07 × 66.44
  4. Step 4: Simplify right side
    118.90x = 10,899.66
  5. Step 5: Solve for x
    x = 10,899.66/118.90
  6. Step 6: Final answer
    x = 91.67

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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.