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Finding the Fourth Proportional to 76.69, 114.99 and 28.54

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Solution

The fourth proportional to 76.69, 114.99 and 28.54 is: 42.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.69 : 114.99 = 28.54 : x
  2. Step 2: Convert to fraction form
    76.69/114.99 = 28.54/x
  3. Step 3: Cross multiply
    76.69x = 114.99 × 28.54
  4. Step 4: Simplify right side
    76.69x = 3,281.81
  5. Step 5: Solve for x
    x = 3,281.81/76.69
  6. Step 6: Final answer
    x = 42.79

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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.