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Finding the Fourth Proportional to 51.07, 76.62 and 31.83

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Solution

The fourth proportional to 51.07, 76.62 and 31.83 is: 47.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.07 : 76.62 = 31.83 : x
  2. Step 2: Convert to fraction form
    51.07/76.62 = 31.83/x
  3. Step 3: Cross multiply
    51.07x = 76.62 × 31.83
  4. Step 4: Simplify right side
    51.07x = 2,438.81
  5. Step 5: Solve for x
    x = 2,438.81/51.07
  6. Step 6: Final answer
    x = 47.75

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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.