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Finding the Fourth Proportional to 120.58, 179.72 and 113.75

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Solution

The fourth proportional to 120.58, 179.72 and 113.75 is: 169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.58 : 179.72 = 113.75 : x
  2. Step 2: Convert to fraction form
    120.58/179.72 = 113.75/x
  3. Step 3: Cross multiply
    120.58x = 179.72 × 113.75
  4. Step 4: Simplify right side
    120.58x = 20,442.54
  5. Step 5: Solve for x
    x = 20,442.54/120.58
  6. Step 6: Final answer
    x = 169.54

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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.