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Finding the Fourth Proportional to 51.61, 77.31 and 30.99

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Solution

The fourth proportional to 51.61, 77.31 and 30.99 is: 46.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.61 : 77.31 = 30.99 : x
  2. Step 2: Convert to fraction form
    51.61/77.31 = 30.99/x
  3. Step 3: Cross multiply
    51.61x = 77.31 × 30.99
  4. Step 4: Simplify right side
    51.61x = 2,395.84
  5. Step 5: Solve for x
    x = 2,395.84/51.61
  6. Step 6: Final answer
    x = 46.42

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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.