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Finding the Fourth Proportional to 69.98, 96.62 and 49.30

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Solution

The fourth proportional to 69.98, 96.62 and 49.30 is: 68.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.98 : 96.62 = 49.30 : x
  2. Step 2: Convert to fraction form
    69.98/96.62 = 49.30/x
  3. Step 3: Cross multiply
    69.98x = 96.62 × 49.30
  4. Step 4: Simplify right side
    69.98x = 4,763.37
  5. Step 5: Solve for x
    x = 4,763.37/69.98
  6. Step 6: Final answer
    x = 68.07

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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.