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Finding the Fourth Proportional to 76.06, 114.10 and 30.41

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Solution

The fourth proportional to 76.06, 114.10 and 30.41 is: 45.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.06 : 114.10 = 30.41 : x
  2. Step 2: Convert to fraction form
    76.06/114.10 = 30.41/x
  3. Step 3: Cross multiply
    76.06x = 114.10 × 30.41
  4. Step 4: Simplify right side
    76.06x = 3,469.78
  5. Step 5: Solve for x
    x = 3,469.78/76.06
  6. Step 6: Final answer
    x = 45.62

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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.