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Finding the Fourth Proportional to 109.91, 164.86 and 66.62

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Solution

The fourth proportional to 109.91, 164.86 and 66.62 is: 99.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.91 : 164.86 = 66.62 : x
  2. Step 2: Convert to fraction form
    109.91/164.86 = 66.62/x
  3. Step 3: Cross multiply
    109.91x = 164.86 × 66.62
  4. Step 4: Simplify right side
    109.91x = 10,982.73
  5. Step 5: Solve for x
    x = 10,982.73/109.91
  6. Step 6: Final answer
    x = 99.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.