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Finding the Fourth Proportional to 45.98, 63.46 and 33.70

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Solution

The fourth proportional to 45.98, 63.46 and 33.70 is: 46.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.98 : 63.46 = 33.70 : x
  2. Step 2: Convert to fraction form
    45.98/63.46 = 33.70/x
  3. Step 3: Cross multiply
    45.98x = 63.46 × 33.70
  4. Step 4: Simplify right side
    45.98x = 2,138.60
  5. Step 5: Solve for x
    x = 2,138.60/45.98
  6. Step 6: Final answer
    x = 46.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.