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Finding the Fourth Proportional to 51.83, 77.38 and 50.01

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Solution

The fourth proportional to 51.83, 77.38 and 50.01 is: 74.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.83 : 77.38 = 50.01 : x
  2. Step 2: Convert to fraction form
    51.83/77.38 = 50.01/x
  3. Step 3: Cross multiply
    51.83x = 77.38 × 50.01
  4. Step 4: Simplify right side
    51.83x = 3,869.77
  5. Step 5: Solve for x
    x = 3,869.77/51.83
  6. Step 6: Final answer
    x = 74.66

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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.