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Finding the Fourth Proportional to 51.94, 77.84 and 46.20

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Solution

The fourth proportional to 51.94, 77.84 and 46.20 is: 69.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.94 : 77.84 = 46.20 : x
  2. Step 2: Convert to fraction form
    51.94/77.84 = 46.20/x
  3. Step 3: Cross multiply
    51.94x = 77.84 × 46.20
  4. Step 4: Simplify right side
    51.94x = 3,596.21
  5. Step 5: Solve for x
    x = 3,596.21/51.94
  6. Step 6: Final answer
    x = 69.24

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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.