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Finding the Fourth Proportional to 16.50, 22.80 and 14.34

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Solution

The fourth proportional to 16.50, 22.80 and 14.34 is: 19.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.50 : 22.80 = 14.34 : x
  2. Step 2: Convert to fraction form
    16.50/22.80 = 14.34/x
  3. Step 3: Cross multiply
    16.50x = 22.80 × 14.34
  4. Step 4: Simplify right side
    16.50x = 326.95
  5. Step 5: Solve for x
    x = 326.95/16.50
  6. Step 6: Final answer
    x = 19.82

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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.