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Finding the Fourth Proportional to 175.99, 264.09 and 67.78

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Solution

The fourth proportional to 175.99, 264.09 and 67.78 is: 101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.99 : 264.09 = 67.78 : x
  2. Step 2: Convert to fraction form
    175.99/264.09 = 67.78/x
  3. Step 3: Cross multiply
    175.99x = 264.09 × 67.78
  4. Step 4: Simplify right side
    175.99x = 17,900.02
  5. Step 5: Solve for x
    x = 17,900.02/175.99
  6. Step 6: Final answer
    x = 101.71

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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.