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Finding the Fourth Proportional to 130.86, 195.03 and 120.74

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Solution

The fourth proportional to 130.86, 195.03 and 120.74 is: 179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.86 : 195.03 = 120.74 : x
  2. Step 2: Convert to fraction form
    130.86/195.03 = 120.74/x
  3. Step 3: Cross multiply
    130.86x = 195.03 × 120.74
  4. Step 4: Simplify right side
    130.86x = 23,546.95
  5. Step 5: Solve for x
    x = 23,546.95/130.86
  6. Step 6: Final answer
    x = 179.94

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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.