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Finding the Fourth Proportional to 45.41, 62.65 and 30.85

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Solution

The fourth proportional to 45.41, 62.65 and 30.85 is: 42.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.41 : 62.65 = 30.85 : x
  2. Step 2: Convert to fraction form
    45.41/62.65 = 30.85/x
  3. Step 3: Cross multiply
    45.41x = 62.65 × 30.85
  4. Step 4: Simplify right side
    45.41x = 1,932.52
  5. Step 5: Solve for x
    x = 1,932.52/45.41
  6. Step 6: Final answer
    x = 42.56

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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.