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Finding the Fourth Proportional to 75.89, 104.71 and 50

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Solution

The fourth proportional to 75.89, 104.71 and 50 is: 68.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.89 : 104.71 = 50 : x
  2. Step 2: Convert to fraction form
    75.89/104.71 = 50/x
  3. Step 3: Cross multiply
    75.89x = 104.71 × 50
  4. Step 4: Simplify right side
    75.89x = 5,235.50
  5. Step 5: Solve for x
    x = 5,235.50/75.89
  6. Step 6: Final answer
    x = 68.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.