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Finding the Fourth Proportional to 141.99, 213.05 and 76.98

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Solution

The fourth proportional to 141.99, 213.05 and 76.98 is: 115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.99 : 213.05 = 76.98 : x
  2. Step 2: Convert to fraction form
    141.99/213.05 = 76.98/x
  3. Step 3: Cross multiply
    141.99x = 213.05 × 76.98
  4. Step 4: Simplify right side
    141.99x = 16,400.59
  5. Step 5: Solve for x
    x = 16,400.59/141.99
  6. Step 6: Final answer
    x = 115.51

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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.