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Finding the Fourth Proportional to 120.33, 166.23 and 85.47

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Solution

The fourth proportional to 120.33, 166.23 and 85.47 is: 118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.33 : 166.23 = 85.47 : x
  2. Step 2: Convert to fraction form
    120.33/166.23 = 85.47/x
  3. Step 3: Cross multiply
    120.33x = 166.23 × 85.47
  4. Step 4: Simplify right side
    120.33x = 14,207.68
  5. Step 5: Solve for x
    x = 14,207.68/120.33
  6. Step 6: Final answer
    x = 118.07

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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.