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Finding the Fourth Proportional to 62.49, 93.83 and 51.75

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Solution

The fourth proportional to 62.49, 93.83 and 51.75 is: 77.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.49 : 93.83 = 51.75 : x
  2. Step 2: Convert to fraction form
    62.49/93.83 = 51.75/x
  3. Step 3: Cross multiply
    62.49x = 93.83 × 51.75
  4. Step 4: Simplify right side
    62.49x = 4,855.94
  5. Step 5: Solve for x
    x = 4,855.94/62.49
  6. Step 6: Final answer
    x = 77.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.