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Finding the Fourth Proportional to 51.81, 77.59 and 43.27

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Solution

The fourth proportional to 51.81, 77.59 and 43.27 is: 64.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.81 : 77.59 = 43.27 : x
  2. Step 2: Convert to fraction form
    51.81/77.59 = 43.27/x
  3. Step 3: Cross multiply
    51.81x = 77.59 × 43.27
  4. Step 4: Simplify right side
    51.81x = 3,357.18
  5. Step 5: Solve for x
    x = 3,357.18/51.81
  6. Step 6: Final answer
    x = 64.80

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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.