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Finding the Fourth Proportional to 140.94, 195.21 and 130.41

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Solution

The fourth proportional to 140.94, 195.21 and 130.41 is: 180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.94 : 195.21 = 130.41 : x
  2. Step 2: Convert to fraction form
    140.94/195.21 = 130.41/x
  3. Step 3: Cross multiply
    140.94x = 195.21 × 130.41
  4. Step 4: Simplify right side
    140.94x = 25,457.34
  5. Step 5: Solve for x
    x = 25,457.34/140.94
  6. Step 6: Final answer
    x = 180.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.