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Finding the Fourth Proportional to 45.53, 62.82 and 30.97

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Solution

The fourth proportional to 45.53, 62.82 and 30.97 is: 42.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.53 : 62.82 = 30.97 : x
  2. Step 2: Convert to fraction form
    45.53/62.82 = 30.97/x
  3. Step 3: Cross multiply
    45.53x = 62.82 × 30.97
  4. Step 4: Simplify right side
    45.53x = 1,945.54
  5. Step 5: Solve for x
    x = 1,945.54/45.53
  6. Step 6: Final answer
    x = 42.73

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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.