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Finding the Fourth Proportional to 51.06, 76.61 and 31.74

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Solution

The fourth proportional to 51.06, 76.61 and 31.74 is: 47.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.06 : 76.61 = 31.74 : x
  2. Step 2: Convert to fraction form
    51.06/76.61 = 31.74/x
  3. Step 3: Cross multiply
    51.06x = 76.61 × 31.74
  4. Step 4: Simplify right side
    51.06x = 2,431.06
  5. Step 5: Solve for x
    x = 2,431.06/51.06
  6. Step 6: Final answer
    x = 47.61

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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.