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Finding the Fourth Proportional to 51.71, 77.01 and 50.42

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Solution

The fourth proportional to 51.71, 77.01 and 50.42 is: 75.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.71 : 77.01 = 50.42 : x
  2. Step 2: Convert to fraction form
    51.71/77.01 = 50.42/x
  3. Step 3: Cross multiply
    51.71x = 77.01 × 50.42
  4. Step 4: Simplify right side
    51.71x = 3,882.59
  5. Step 5: Solve for x
    x = 3,882.59/51.71
  6. Step 6: Final answer
    x = 75.08

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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.