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Finding the Fourth Proportional to 50.68, 75.64 and 38.60

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Solution

The fourth proportional to 50.68, 75.64 and 38.60 is: 57.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.68 : 75.64 = 38.60 : x
  2. Step 2: Convert to fraction form
    50.68/75.64 = 38.60/x
  3. Step 3: Cross multiply
    50.68x = 75.64 × 38.60
  4. Step 4: Simplify right side
    50.68x = 2,919.70
  5. Step 5: Solve for x
    x = 2,919.70/50.68
  6. Step 6: Final answer
    x = 57.61

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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.