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Finding the Fourth Proportional to 130.50, 195.62 and 71.97

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Solution

The fourth proportional to 130.50, 195.62 and 71.97 is: 107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.50 : 195.62 = 71.97 : x
  2. Step 2: Convert to fraction form
    130.50/195.62 = 71.97/x
  3. Step 3: Cross multiply
    130.50x = 195.62 × 71.97
  4. Step 4: Simplify right side
    130.50x = 14,078.41
  5. Step 5: Solve for x
    x = 14,078.41/130.50
  6. Step 6: Final answer
    x = 107.88

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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.