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Finding the Fourth Proportional to 14.45, 21.65 and 7.68

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Solution

The fourth proportional to 14.45, 21.65 and 7.68 is: 11.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.45 : 21.65 = 7.68 : x
  2. Step 2: Convert to fraction form
    14.45/21.65 = 7.68/x
  3. Step 3: Cross multiply
    14.45x = 21.65 × 7.68
  4. Step 4: Simplify right side
    14.45x = 166.23
  5. Step 5: Solve for x
    x = 166.23/14.45
  6. Step 6: Final answer
    x = 11.51

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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.