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Finding the Fourth Proportional to 51.88, 77.81 and 24.46

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Solution

The fourth proportional to 51.88, 77.81 and 24.46 is: 36.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.88 : 77.81 = 24.46 : x
  2. Step 2: Convert to fraction form
    51.88/77.81 = 24.46/x
  3. Step 3: Cross multiply
    51.88x = 77.81 × 24.46
  4. Step 4: Simplify right side
    51.88x = 1,902.84
  5. Step 5: Solve for x
    x = 1,902.84/51.88
  6. Step 6: Final answer
    x = 36.68

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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.