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Finding the Fourth Proportional to 120.25, 166.03 and 74.33

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Solution

The fourth proportional to 120.25, 166.03 and 74.33 is: 102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.25 : 166.03 = 74.33 : x
  2. Step 2: Convert to fraction form
    120.25/166.03 = 74.33/x
  3. Step 3: Cross multiply
    120.25x = 166.03 × 74.33
  4. Step 4: Simplify right side
    120.25x = 12,340.64
  5. Step 5: Solve for x
    x = 12,340.64/120.25
  6. Step 6: Final answer
    x = 102.62

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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.