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Finding the Fourth Proportional to 47.28, 70.99 and 30.98

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Solution

The fourth proportional to 47.28, 70.99 and 30.98 is: 46.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.28 : 70.99 = 30.98 : x
  2. Step 2: Convert to fraction form
    47.28/70.99 = 30.98/x
  3. Step 3: Cross multiply
    47.28x = 70.99 × 30.98
  4. Step 4: Simplify right side
    47.28x = 2,198.76
  5. Step 5: Solve for x
    x = 2,198.76/47.28
  6. Step 6: Final answer
    x = 46.51

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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.