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Finding the Fourth Proportional to 51.27, 76.52 and 46.41

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Solution

The fourth proportional to 51.27, 76.52 and 46.41 is: 69.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.27 : 76.52 = 46.41 : x
  2. Step 2: Convert to fraction form
    51.27/76.52 = 46.41/x
  3. Step 3: Cross multiply
    51.27x = 76.52 × 46.41
  4. Step 4: Simplify right side
    51.27x = 3,551.29
  5. Step 5: Solve for x
    x = 3,551.29/51.27
  6. Step 6: Final answer
    x = 69.27

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Why These Related Problems?

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