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Finding the Fourth Proportional to 120.36, 166.09 and 65.09

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Solution

The fourth proportional to 120.36, 166.09 and 65.09 is: 89.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.36 : 166.09 = 65.09 : x
  2. Step 2: Convert to fraction form
    120.36/166.09 = 65.09/x
  3. Step 3: Cross multiply
    120.36x = 166.09 × 65.09
  4. Step 4: Simplify right side
    120.36x = 10,811.13
  5. Step 5: Solve for x
    x = 10,811.13/120.36
  6. Step 6: Final answer
    x = 89.83

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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.