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Finding the Fourth Proportional to 33.99, 51.10 and 28.32

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Solution

The fourth proportional to 33.99, 51.10 and 28.32 is: 42.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.99 : 51.10 = 28.32 : x
  2. Step 2: Convert to fraction form
    33.99/51.10 = 28.32/x
  3. Step 3: Cross multiply
    33.99x = 51.10 × 28.32
  4. Step 4: Simplify right side
    33.99x = 1,446.89
  5. Step 5: Solve for x
    x = 1,446.89/33.99
  6. Step 6: Final answer
    x = 42.57

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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.