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Finding the Fourth Proportional to 51.12, 76.74 and 31.89

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Solution

The fourth proportional to 51.12, 76.74 and 31.89 is: 47.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.12 : 76.74 = 31.89 : x
  2. Step 2: Convert to fraction form
    51.12/76.74 = 31.89/x
  3. Step 3: Cross multiply
    51.12x = 76.74 × 31.89
  4. Step 4: Simplify right side
    51.12x = 2,447.24
  5. Step 5: Solve for x
    x = 2,447.24/51.12
  6. Step 6: Final answer
    x = 47.87

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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.