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Finding the Fourth Proportional to 45.69, 62.98 and 37.49

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Solution

The fourth proportional to 45.69, 62.98 and 37.49 is: 51.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.69 : 62.98 = 37.49 : x
  2. Step 2: Convert to fraction form
    45.69/62.98 = 37.49/x
  3. Step 3: Cross multiply
    45.69x = 62.98 × 37.49
  4. Step 4: Simplify right side
    45.69x = 2,361.28
  5. Step 5: Solve for x
    x = 2,361.28/45.69
  6. Step 6: Final answer
    x = 51.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.