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Finding the Fourth Proportional to 16.30, 24.42 and 10.96

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Solution

The fourth proportional to 16.30, 24.42 and 10.96 is: 16.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.30 : 24.42 = 10.96 : x
  2. Step 2: Convert to fraction form
    16.30/24.42 = 10.96/x
  3. Step 3: Cross multiply
    16.30x = 24.42 × 10.96
  4. Step 4: Simplify right side
    16.30x = 267.64
  5. Step 5: Solve for x
    x = 267.64/16.30
  6. Step 6: Final answer
    x = 16.42

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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.