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Finding the Fourth Proportional to 130.12, 196.03 and 119.80

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Solution

The fourth proportional to 130.12, 196.03 and 119.80 is: 180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.12 : 196.03 = 119.80 : x
  2. Step 2: Convert to fraction form
    130.12/196.03 = 119.80/x
  3. Step 3: Cross multiply
    130.12x = 196.03 × 119.80
  4. Step 4: Simplify right side
    130.12x = 23,484.39
  5. Step 5: Solve for x
    x = 23,484.39/130.12
  6. Step 6: Final answer
    x = 180.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.