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Finding the Fourth Proportional to 16.46, 22.70 and 9.99

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Solution

The fourth proportional to 16.46, 22.70 and 9.99 is: 13.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.46 : 22.70 = 9.99 : x
  2. Step 2: Convert to fraction form
    16.46/22.70 = 9.99/x
  3. Step 3: Cross multiply
    16.46x = 22.70 × 9.99
  4. Step 4: Simplify right side
    16.46x = 226.80
  5. Step 5: Solve for x
    x = 226.80/16.46
  6. Step 6: Final answer
    x = 13.78

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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.