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Finding the Fourth Proportional to 51.48, 76.85 and 45.41

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Solution

The fourth proportional to 51.48, 76.85 and 45.41 is: 67.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.48 : 76.85 = 45.41 : x
  2. Step 2: Convert to fraction form
    51.48/76.85 = 45.41/x
  3. Step 3: Cross multiply
    51.48x = 76.85 × 45.41
  4. Step 4: Simplify right side
    51.48x = 3,489.15
  5. Step 5: Solve for x
    x = 3,489.15/51.48
  6. Step 6: Final answer
    x = 67.78

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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.