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Finding the Fourth Proportional to 51.76, 77.57 and 31.43

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Solution

The fourth proportional to 51.76, 77.57 and 31.43 is: 47.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.76 : 77.57 = 31.43 : x
  2. Step 2: Convert to fraction form
    51.76/77.57 = 31.43/x
  3. Step 3: Cross multiply
    51.76x = 77.57 × 31.43
  4. Step 4: Simplify right side
    51.76x = 2,438.03
  5. Step 5: Solve for x
    x = 2,438.03/51.76
  6. Step 6: Final answer
    x = 47.10

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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.