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Finding the Fourth Proportional to 51.07, 76.61 and 25.38

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Solution

The fourth proportional to 51.07, 76.61 and 25.38 is: 38.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.07 : 76.61 = 25.38 : x
  2. Step 2: Convert to fraction form
    51.07/76.61 = 25.38/x
  3. Step 3: Cross multiply
    51.07x = 76.61 × 25.38
  4. Step 4: Simplify right side
    51.07x = 1,944.36
  5. Step 5: Solve for x
    x = 1,944.36/51.07
  6. Step 6: Final answer
    x = 38.07

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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.