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Finding the Fourth Proportional to 120.33, 179.72 and 94.59

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Solution

The fourth proportional to 120.33, 179.72 and 94.59 is: 141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.33 : 179.72 = 94.59 : x
  2. Step 2: Convert to fraction form
    120.33/179.72 = 94.59/x
  3. Step 3: Cross multiply
    120.33x = 179.72 × 94.59
  4. Step 4: Simplify right side
    120.33x = 16,999.24
  5. Step 5: Solve for x
    x = 16,999.24/120.33
  6. Step 6: Final answer
    x = 141.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.