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Finding the Fourth Proportional to 52.91, 78.80 and 50.57

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Solution

The fourth proportional to 52.91, 78.80 and 50.57 is: 75.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.91 : 78.80 = 50.57 : x
  2. Step 2: Convert to fraction form
    52.91/78.80 = 50.57/x
  3. Step 3: Cross multiply
    52.91x = 78.80 × 50.57
  4. Step 4: Simplify right side
    52.91x = 3,984.27
  5. Step 5: Solve for x
    x = 3,984.27/52.91
  6. Step 6: Final answer
    x = 75.31

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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.