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Finding the Fourth Proportional to 68.88, 103.20 and 49.62

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Solution

The fourth proportional to 68.88, 103.20 and 49.62 is: 74.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.88 : 103.20 = 49.62 : x
  2. Step 2: Convert to fraction form
    68.88/103.20 = 49.62/x
  3. Step 3: Cross multiply
    68.88x = 103.20 × 49.62
  4. Step 4: Simplify right side
    68.88x = 5,120.78
  5. Step 5: Solve for x
    x = 5,120.78/68.88
  6. Step 6: Final answer
    x = 74.34

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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.