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Finding the Fourth Proportional to 16.44, 22.70 and 12.35

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Solution

The fourth proportional to 16.44, 22.70 and 12.35 is: 17.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.44 : 22.70 = 12.35 : x
  2. Step 2: Convert to fraction form
    16.44/22.70 = 12.35/x
  3. Step 3: Cross multiply
    16.44x = 22.70 × 12.35
  4. Step 4: Simplify right side
    16.44x = 280.42
  5. Step 5: Solve for x
    x = 280.42/16.44
  6. Step 6: Final answer
    x = 17.05

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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.