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Finding the Fourth Proportional to 69.84, 104.64 and 53.76

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Solution

The fourth proportional to 69.84, 104.64 and 53.76 is: 80.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.84 : 104.64 = 53.76 : x
  2. Step 2: Convert to fraction form
    69.84/104.64 = 53.76/x
  3. Step 3: Cross multiply
    69.84x = 104.64 × 53.76
  4. Step 4: Simplify right side
    69.84x = 5,625.45
  5. Step 5: Solve for x
    x = 5,625.45/69.84
  6. Step 6: Final answer
    x = 80.55

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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.