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Finding the Fourth Proportional to 51.72, 77.63 and 31.46

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Solution

The fourth proportional to 51.72, 77.63 and 31.46 is: 47.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.72 : 77.63 = 31.46 : x
  2. Step 2: Convert to fraction form
    51.72/77.63 = 31.46/x
  3. Step 3: Cross multiply
    51.72x = 77.63 × 31.46
  4. Step 4: Simplify right side
    51.72x = 2,441.69
  5. Step 5: Solve for x
    x = 2,441.69/51.72
  6. Step 6: Final answer
    x = 47.21

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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.