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Finding the Fourth Proportional to 75.84, 104.68 and 69.78

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Solution

The fourth proportional to 75.84, 104.68 and 69.78 is: 96.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.84 : 104.68 = 69.78 : x
  2. Step 2: Convert to fraction form
    75.84/104.68 = 69.78/x
  3. Step 3: Cross multiply
    75.84x = 104.68 × 69.78
  4. Step 4: Simplify right side
    75.84x = 7,304.57
  5. Step 5: Solve for x
    x = 7,304.57/75.84
  6. Step 6: Final answer
    x = 96.32

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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.