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Finding the Fourth Proportional to 45.26, 67.82 and 24.99

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Solution

The fourth proportional to 45.26, 67.82 and 24.99 is: 37.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.26 : 67.82 = 24.99 : x
  2. Step 2: Convert to fraction form
    45.26/67.82 = 24.99/x
  3. Step 3: Cross multiply
    45.26x = 67.82 × 24.99
  4. Step 4: Simplify right side
    45.26x = 1,694.82
  5. Step 5: Solve for x
    x = 1,694.82/45.26
  6. Step 6: Final answer
    x = 37.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.