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Finding the Fourth Proportional to 75.68, 113.49 and 30.03

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Solution

The fourth proportional to 75.68, 113.49 and 30.03 is: 45.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.68 : 113.49 = 30.03 : x
  2. Step 2: Convert to fraction form
    75.68/113.49 = 30.03/x
  3. Step 3: Cross multiply
    75.68x = 113.49 × 30.03
  4. Step 4: Simplify right side
    75.68x = 3,408.13
  5. Step 5: Solve for x
    x = 3,408.13/75.68
  6. Step 6: Final answer
    x = 45.04

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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.