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Finding the Fourth Proportional to 51.05, 76.45 and 30.70

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Solution

The fourth proportional to 51.05, 76.45 and 30.70 is: 45.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.05 : 76.45 = 30.70 : x
  2. Step 2: Convert to fraction form
    51.05/76.45 = 30.70/x
  3. Step 3: Cross multiply
    51.05x = 76.45 × 30.70
  4. Step 4: Simplify right side
    51.05x = 2,346.48
  5. Step 5: Solve for x
    x = 2,346.48/51.05
  6. Step 6: Final answer
    x = 45.97

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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.