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Finding the Fourth Proportional to 51.32, 77 and 18.82

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Solution

The fourth proportional to 51.32, 77 and 18.82 is: 28.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.32 : 77 = 18.82 : x
  2. Step 2: Convert to fraction form
    51.32/77 = 18.82/x
  3. Step 3: Cross multiply
    51.32x = 77 × 18.82
  4. Step 4: Simplify right side
    51.32x = 1,449.14
  5. Step 5: Solve for x
    x = 1,449.14/51.32
  6. Step 6: Final answer
    x = 28.24

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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.