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Finding the Fourth Proportional to 120.86, 180.32 and 103.54

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Solution

The fourth proportional to 120.86, 180.32 and 103.54 is: 154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.86 : 180.32 = 103.54 : x
  2. Step 2: Convert to fraction form
    120.86/180.32 = 103.54/x
  3. Step 3: Cross multiply
    120.86x = 180.32 × 103.54
  4. Step 4: Simplify right side
    120.86x = 18,670.33
  5. Step 5: Solve for x
    x = 18,670.33/120.86
  6. Step 6: Final answer
    x = 154.48

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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.