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Finding the Fourth Proportional to 51.06, 76.48 and 30.78

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Solution

The fourth proportional to 51.06, 76.48 and 30.78 is: 46.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.06 : 76.48 = 30.78 : x
  2. Step 2: Convert to fraction form
    51.06/76.48 = 30.78/x
  3. Step 3: Cross multiply
    51.06x = 76.48 × 30.78
  4. Step 4: Simplify right side
    51.06x = 2,354.05
  5. Step 5: Solve for x
    x = 2,354.05/51.06
  6. Step 6: Final answer
    x = 46.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.