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Finding the Fourth Proportional to 13, 19.50 and 7

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Solution

The fourth proportional to 13, 19.50 and 7 is: 10.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 19.50 = 7 : x
  2. Step 2: Convert to fraction form
    13/19.50 = 7/x
  3. Step 3: Cross multiply
    13x = 19.50 × 7
  4. Step 4: Simplify right side
    13x = 136.50
  5. Step 5: Solve for x
    x = 136.50/13
  6. Step 6: Final answer
    x = 10.50

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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.