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Finding the Fourth Proportional to 51.76, 77.64 and 31.51

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Solution

The fourth proportional to 51.76, 77.64 and 31.51 is: 47.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.76 : 77.64 = 31.51 : x
  2. Step 2: Convert to fraction form
    51.76/77.64 = 31.51/x
  3. Step 3: Cross multiply
    51.76x = 77.64 × 31.51
  4. Step 4: Simplify right side
    51.76x = 2,446.44
  5. Step 5: Solve for x
    x = 2,446.44/51.76
  6. Step 6: Final answer
    x = 47.27

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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.