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Finding the Fourth Proportional to 48.73, 73.00 and 35.82

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Solution

The fourth proportional to 48.73, 73.00 and 35.82 is: 53.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.73 : 73.00 = 35.82 : x
  2. Step 2: Convert to fraction form
    48.73/73.00 = 35.82/x
  3. Step 3: Cross multiply
    48.73x = 73.00 × 35.82
  4. Step 4: Simplify right side
    48.73x = 2,614.70
  5. Step 5: Solve for x
    x = 2,614.70/48.73
  6. Step 6: Final answer
    x = 53.66

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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.