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Finding the Fourth Proportional to 49.79, 74.67 and 30.56

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Solution

The fourth proportional to 49.79, 74.67 and 30.56 is: 45.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.79 : 74.67 = 30.56 : x
  2. Step 2: Convert to fraction form
    49.79/74.67 = 30.56/x
  3. Step 3: Cross multiply
    49.79x = 74.67 × 30.56
  4. Step 4: Simplify right side
    49.79x = 2,281.92
  5. Step 5: Solve for x
    x = 2,281.92/49.79
  6. Step 6: Final answer
    x = 45.83

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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.