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Finding the Fourth Proportional to 48.50, 66.98 and 33.78

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Solution

The fourth proportional to 48.50, 66.98 and 33.78 is: 46.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.50 : 66.98 = 33.78 : x
  2. Step 2: Convert to fraction form
    48.50/66.98 = 33.78/x
  3. Step 3: Cross multiply
    48.50x = 66.98 × 33.78
  4. Step 4: Simplify right side
    48.50x = 2,262.58
  5. Step 5: Solve for x
    x = 2,262.58/48.50
  6. Step 6: Final answer
    x = 46.65

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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.