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Finding the Fourth Proportional to 56.50, 77.83 and 54.27

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Solution

The fourth proportional to 56.50, 77.83 and 54.27 is: 74.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.50 : 77.83 = 54.27 : x
  2. Step 2: Convert to fraction form
    56.50/77.83 = 54.27/x
  3. Step 3: Cross multiply
    56.50x = 77.83 × 54.27
  4. Step 4: Simplify right side
    56.50x = 4,223.70
  5. Step 5: Solve for x
    x = 4,223.70/56.50
  6. Step 6: Final answer
    x = 74.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.