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Finding the Fourth Proportional to 13, 19.50 and 3.50

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Solution

The fourth proportional to 13, 19.50 and 3.50 is: 5.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 19.50 = 3.50 : x
  2. Step 2: Convert to fraction form
    13/19.50 = 3.50/x
  3. Step 3: Cross multiply
    13x = 19.50 × 3.50
  4. Step 4: Simplify right side
    13x = 68.25
  5. Step 5: Solve for x
    x = 68.25/13
  6. Step 6: Final answer
    x = 5.25

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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.