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Finding the Fourth Proportional to 120.86, 179.86 and 116.54

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Solution

The fourth proportional to 120.86, 179.86 and 116.54 is: 173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.86 : 179.86 = 116.54 : x
  2. Step 2: Convert to fraction form
    120.86/179.86 = 116.54/x
  3. Step 3: Cross multiply
    120.86x = 179.86 × 116.54
  4. Step 4: Simplify right side
    120.86x = 20,959.69
  5. Step 5: Solve for x
    x = 20,959.69/120.86
  6. Step 6: Final answer
    x = 173.43

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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.