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Finding the Fourth Proportional to 34.64, 51.82 and 28.56

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Solution

The fourth proportional to 34.64, 51.82 and 28.56 is: 42.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.64 : 51.82 = 28.56 : x
  2. Step 2: Convert to fraction form
    34.64/51.82 = 28.56/x
  3. Step 3: Cross multiply
    34.64x = 51.82 × 28.56
  4. Step 4: Simplify right side
    34.64x = 1,479.98
  5. Step 5: Solve for x
    x = 1,479.98/34.64
  6. Step 6: Final answer
    x = 42.72

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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.