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Finding the Fourth Proportional to 51.90, 77.27 and 51.60

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Solution

The fourth proportional to 51.90, 77.27 and 51.60 is: 76.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.90 : 77.27 = 51.60 : x
  2. Step 2: Convert to fraction form
    51.90/77.27 = 51.60/x
  3. Step 3: Cross multiply
    51.90x = 77.27 × 51.60
  4. Step 4: Simplify right side
    51.90x = 3,986.87
  5. Step 5: Solve for x
    x = 3,986.87/51.90
  6. Step 6: Final answer
    x = 76.82

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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.