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Finding the Fourth Proportional to 75.63, 113.39 and 57.33

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Solution

The fourth proportional to 75.63, 113.39 and 57.33 is: 85.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.63 : 113.39 = 57.33 : x
  2. Step 2: Convert to fraction form
    75.63/113.39 = 57.33/x
  3. Step 3: Cross multiply
    75.63x = 113.39 × 57.33
  4. Step 4: Simplify right side
    75.63x = 6,500.65
  5. Step 5: Solve for x
    x = 6,500.65/75.63
  6. Step 6: Final answer
    x = 85.95

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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.