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Finding the Fourth Proportional to 76.82, 115.16 and 28.69

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Solution

The fourth proportional to 76.82, 115.16 and 28.69 is: 43.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.82 : 115.16 = 28.69 : x
  2. Step 2: Convert to fraction form
    76.82/115.16 = 28.69/x
  3. Step 3: Cross multiply
    76.82x = 115.16 × 28.69
  4. Step 4: Simplify right side
    76.82x = 3,303.51
  5. Step 5: Solve for x
    x = 3,303.51/76.82
  6. Step 6: Final answer
    x = 43.01

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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.