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Finding the Fourth Proportional to 14.50, 21.68 and 13.33

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Solution

The fourth proportional to 14.50, 21.68 and 13.33 is: 19.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.50 : 21.68 = 13.33 : x
  2. Step 2: Convert to fraction form
    14.50/21.68 = 13.33/x
  3. Step 3: Cross multiply
    14.50x = 21.68 × 13.33
  4. Step 4: Simplify right side
    14.50x = 288.99
  5. Step 5: Solve for x
    x = 288.99/14.50
  6. Step 6: Final answer
    x = 19.93

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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.