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Finding the Fourth Proportional to 21.75, 30.00 and 13.00

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Solution

The fourth proportional to 21.75, 30.00 and 13.00 is: 17.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.75 : 30.00 = 13.00 : x
  2. Step 2: Convert to fraction form
    21.75/30.00 = 13.00/x
  3. Step 3: Cross multiply
    21.75x = 30.00 × 13.00
  4. Step 4: Simplify right side
    21.75x = 389.97
  5. Step 5: Solve for x
    x = 389.97/21.75
  6. Step 6: Final answer
    x = 17.93

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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.