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Finding the Fourth Proportional to 51.99, 78.04 and 31.71

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Solution

The fourth proportional to 51.99, 78.04 and 31.71 is: 47.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.99 : 78.04 = 31.71 : x
  2. Step 2: Convert to fraction form
    51.99/78.04 = 31.71/x
  3. Step 3: Cross multiply
    51.99x = 78.04 × 31.71
  4. Step 4: Simplify right side
    51.99x = 2,474.65
  5. Step 5: Solve for x
    x = 2,474.65/51.99
  6. Step 6: Final answer
    x = 47.60

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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.