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Finding the Fourth Proportional to 51.07, 76.33 and 38.16

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Solution

The fourth proportional to 51.07, 76.33 and 38.16 is: 57.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.07 : 76.33 = 38.16 : x
  2. Step 2: Convert to fraction form
    51.07/76.33 = 38.16/x
  3. Step 3: Cross multiply
    51.07x = 76.33 × 38.16
  4. Step 4: Simplify right side
    51.07x = 2,912.75
  5. Step 5: Solve for x
    x = 2,912.75/51.07
  6. Step 6: Final answer
    x = 57.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.