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Finding the Fourth Proportional to 20, 30 and 10.50

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Solution

The fourth proportional to 20, 30 and 10.50 is: 15.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20 : 30 = 10.50 : x
  2. Step 2: Convert to fraction form
    20/30 = 10.50/x
  3. Step 3: Cross multiply
    20x = 30 × 10.50
  4. Step 4: Simplify right side
    20x = 315
  5. Step 5: Solve for x
    x = 315/20
  6. Step 6: Final answer
    x = 15.75

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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.