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Finding the Fourth Proportional to 30.23, 45.26 and 28.34

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Solution

The fourth proportional to 30.23, 45.26 and 28.34 is: 42.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.23 : 45.26 = 28.34 : x
  2. Step 2: Convert to fraction form
    30.23/45.26 = 28.34/x
  3. Step 3: Cross multiply
    30.23x = 45.26 × 28.34
  4. Step 4: Simplify right side
    30.23x = 1,282.67
  5. Step 5: Solve for x
    x = 1,282.67/30.23
  6. Step 6: Final answer
    x = 42.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.