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Finding the Fourth Proportional to 51.84, 77.43 and 46.11

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Solution

The fourth proportional to 51.84, 77.43 and 46.11 is: 68.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.84 : 77.43 = 46.11 : x
  2. Step 2: Convert to fraction form
    51.84/77.43 = 46.11/x
  3. Step 3: Cross multiply
    51.84x = 77.43 × 46.11
  4. Step 4: Simplify right side
    51.84x = 3,570.30
  5. Step 5: Solve for x
    x = 3,570.30/51.84
  6. Step 6: Final answer
    x = 68.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.