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Finding the Fourth Proportional to 51.36, 76.88 and 30.98

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Solution

The fourth proportional to 51.36, 76.88 and 30.98 is: 46.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.36 : 76.88 = 30.98 : x
  2. Step 2: Convert to fraction form
    51.36/76.88 = 30.98/x
  3. Step 3: Cross multiply
    51.36x = 76.88 × 30.98
  4. Step 4: Simplify right side
    51.36x = 2,381.74
  5. Step 5: Solve for x
    x = 2,381.74/51.36
  6. Step 6: Final answer
    x = 46.37

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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.