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Finding the Fourth Proportional to 30.22, 45.34 and 10.96

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Solution

The fourth proportional to 30.22, 45.34 and 10.96 is: 16.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.22 : 45.34 = 10.96 : x
  2. Step 2: Convert to fraction form
    30.22/45.34 = 10.96/x
  3. Step 3: Cross multiply
    30.22x = 45.34 × 10.96
  4. Step 4: Simplify right side
    30.22x = 496.93
  5. Step 5: Solve for x
    x = 496.93/30.22
  6. Step 6: Final answer
    x = 16.44

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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.