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Finding the Fourth Proportional to 53.10, 78.82 and 50.94

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Solution

The fourth proportional to 53.10, 78.82 and 50.94 is: 75.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.10 : 78.82 = 50.94 : x
  2. Step 2: Convert to fraction form
    53.10/78.82 = 50.94/x
  3. Step 3: Cross multiply
    53.10x = 78.82 × 50.94
  4. Step 4: Simplify right side
    53.10x = 4,015.09
  5. Step 5: Solve for x
    x = 4,015.09/53.10
  6. Step 6: Final answer
    x = 75.61

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.