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Finding the Fourth Proportional to 16.34, 24.46 and 10.56

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Solution

The fourth proportional to 16.34, 24.46 and 10.56 is: 15.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.34 : 24.46 = 10.56 : x
  2. Step 2: Convert to fraction form
    16.34/24.46 = 10.56/x
  3. Step 3: Cross multiply
    16.34x = 24.46 × 10.56
  4. Step 4: Simplify right side
    16.34x = 258.30
  5. Step 5: Solve for x
    x = 258.30/16.34
  6. Step 6: Final answer
    x = 15.81

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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.