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Finding the Fourth Proportional to 76.13, 114.24 and 28.05

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Solution

The fourth proportional to 76.13, 114.24 and 28.05 is: 42.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.13 : 114.24 = 28.05 : x
  2. Step 2: Convert to fraction form
    76.13/114.24 = 28.05/x
  3. Step 3: Cross multiply
    76.13x = 114.24 × 28.05
  4. Step 4: Simplify right side
    76.13x = 3,204.43
  5. Step 5: Solve for x
    x = 3,204.43/76.13
  6. Step 6: Final answer
    x = 42.09

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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.