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Finding the Fourth Proportional to 51.09, 76.62 and 46.83

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Solution

The fourth proportional to 51.09, 76.62 and 46.83 is: 70.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.09 : 76.62 = 46.83 : x
  2. Step 2: Convert to fraction form
    51.09/76.62 = 46.83/x
  3. Step 3: Cross multiply
    51.09x = 76.62 × 46.83
  4. Step 4: Simplify right side
    51.09x = 3,588.11
  5. Step 5: Solve for x
    x = 3,588.11/51.09
  6. Step 6: Final answer
    x = 70.23

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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.