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Finding the Fourth Proportional to 130.41, 195.77 and 53.43

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Solution

The fourth proportional to 130.41, 195.77 and 53.43 is: 80.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.41 : 195.77 = 53.43 : x
  2. Step 2: Convert to fraction form
    130.41/195.77 = 53.43/x
  3. Step 3: Cross multiply
    130.41x = 195.77 × 53.43
  4. Step 4: Simplify right side
    130.41x = 10,460.74
  5. Step 5: Solve for x
    x = 10,460.74/130.41
  6. Step 6: Final answer
    x = 80.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.