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Finding the Fourth Proportional to 56.11, 83.84 and 49.43

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Solution

The fourth proportional to 56.11, 83.84 and 49.43 is: 73.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.11 : 83.84 = 49.43 : x
  2. Step 2: Convert to fraction form
    56.11/83.84 = 49.43/x
  3. Step 3: Cross multiply
    56.11x = 83.84 × 49.43
  4. Step 4: Simplify right side
    56.11x = 4,143.54
  5. Step 5: Solve for x
    x = 4,143.54/56.11
  6. Step 6: Final answer
    x = 73.85

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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.