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Finding the Fourth Proportional to 49.09, 73.53 and 28.75

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Solution

The fourth proportional to 49.09, 73.53 and 28.75 is: 43.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.09 : 73.53 = 28.75 : x
  2. Step 2: Convert to fraction form
    49.09/73.53 = 28.75/x
  3. Step 3: Cross multiply
    49.09x = 73.53 × 28.75
  4. Step 4: Simplify right side
    49.09x = 2,113.99
  5. Step 5: Solve for x
    x = 2,113.99/49.09
  6. Step 6: Final answer
    x = 43.06

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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.