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Finding the Fourth Proportional to 51.84, 78.12 and 49.95

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Solution

The fourth proportional to 51.84, 78.12 and 49.95 is: 75.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.84 : 78.12 = 49.95 : x
  2. Step 2: Convert to fraction form
    51.84/78.12 = 49.95/x
  3. Step 3: Cross multiply
    51.84x = 78.12 × 49.95
  4. Step 4: Simplify right side
    51.84x = 3,902.09
  5. Step 5: Solve for x
    x = 3,902.09/51.84
  6. Step 6: Final answer
    x = 75.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.