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Finding the Fourth Proportional to 16.50, 22.74 and 14.94

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Solution

The fourth proportional to 16.50, 22.74 and 14.94 is: 20.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.50 : 22.74 = 14.94 : x
  2. Step 2: Convert to fraction form
    16.50/22.74 = 14.94/x
  3. Step 3: Cross multiply
    16.50x = 22.74 × 14.94
  4. Step 4: Simplify right side
    16.50x = 339.74
  5. Step 5: Solve for x
    x = 339.74/16.50
  6. Step 6: Final answer
    x = 20.59

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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.