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Finding the Fourth Proportional to 52.38, 78.20 and 50.46

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Solution

The fourth proportional to 52.38, 78.20 and 50.46 is: 75.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.38 : 78.20 = 50.46 : x
  2. Step 2: Convert to fraction form
    52.38/78.20 = 50.46/x
  3. Step 3: Cross multiply
    52.38x = 78.20 × 50.46
  4. Step 4: Simplify right side
    52.38x = 3,945.97
  5. Step 5: Solve for x
    x = 3,945.97/52.38
  6. Step 6: Final answer
    x = 75.33

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Why These Related Problems?

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