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Finding the Fourth Proportional to 75.36, 112.83 and 51.27

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Solution

The fourth proportional to 75.36, 112.83 and 51.27 is: 76.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.36 : 112.83 = 51.27 : x
  2. Step 2: Convert to fraction form
    75.36/112.83 = 51.27/x
  3. Step 3: Cross multiply
    75.36x = 112.83 × 51.27
  4. Step 4: Simplify right side
    75.36x = 5,784.79
  5. Step 5: Solve for x
    x = 5,784.79/75.36
  6. Step 6: Final answer
    x = 76.76

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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.