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Finding the Fourth Proportional to 130.83, 196.43 and 76.75

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Solution

The fourth proportional to 130.83, 196.43 and 76.75 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.83 : 196.43 = 76.75 : x
  2. Step 2: Convert to fraction form
    130.83/196.43 = 76.75/x
  3. Step 3: Cross multiply
    130.83x = 196.43 × 76.75
  4. Step 4: Simplify right side
    130.83x = 15,076.00
  5. Step 5: Solve for x
    x = 15,076.00/130.83
  6. Step 6: Final answer
    x = 115.23

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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.