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Finding the Fourth Proportional to 51.31, 76.90 and 25.64

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Solution

The fourth proportional to 51.31, 76.90 and 25.64 is: 38.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.31 : 76.90 = 25.64 : x
  2. Step 2: Convert to fraction form
    51.31/76.90 = 25.64/x
  3. Step 3: Cross multiply
    51.31x = 76.90 × 25.64
  4. Step 4: Simplify right side
    51.31x = 1,971.82
  5. Step 5: Solve for x
    x = 1,971.82/51.31
  6. Step 6: Final answer
    x = 38.43

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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.