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Finding the Fourth Proportional to 69.94, 96.49 and 49.21

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Solution

The fourth proportional to 69.94, 96.49 and 49.21 is: 67.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.94 : 96.49 = 49.21 : x
  2. Step 2: Convert to fraction form
    69.94/96.49 = 49.21/x
  3. Step 3: Cross multiply
    69.94x = 96.49 × 49.21
  4. Step 4: Simplify right side
    69.94x = 4,748.27
  5. Step 5: Solve for x
    x = 4,748.27/69.94
  6. Step 6: Final answer
    x = 67.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.