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Finding the Fourth Proportional to 50.91, 76.05 and 45.75

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Solution

The fourth proportional to 50.91, 76.05 and 45.75 is: 68.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.91 : 76.05 = 45.75 : x
  2. Step 2: Convert to fraction form
    50.91/76.05 = 45.75/x
  3. Step 3: Cross multiply
    50.91x = 76.05 × 45.75
  4. Step 4: Simplify right side
    50.91x = 3,479.29
  5. Step 5: Solve for x
    x = 3,479.29/50.91
  6. Step 6: Final answer
    x = 68.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.