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Finding the Fourth Proportional to 69.84, 96.38 and 49.16

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Solution

The fourth proportional to 69.84, 96.38 and 49.16 is: 67.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.84 : 96.38 = 49.16 : x
  2. Step 2: Convert to fraction form
    69.84/96.38 = 49.16/x
  3. Step 3: Cross multiply
    69.84x = 96.38 × 49.16
  4. Step 4: Simplify right side
    69.84x = 4,738.04
  5. Step 5: Solve for x
    x = 4,738.04/69.84
  6. Step 6: Final answer
    x = 67.84

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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.