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Finding the Fourth Proportional to 51.24, 76.46 and 46.14

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Solution

The fourth proportional to 51.24, 76.46 and 46.14 is: 68.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.24 : 76.46 = 46.14 : x
  2. Step 2: Convert to fraction form
    51.24/76.46 = 46.14/x
  3. Step 3: Cross multiply
    51.24x = 76.46 × 46.14
  4. Step 4: Simplify right side
    51.24x = 3,527.86
  5. Step 5: Solve for x
    x = 3,527.86/51.24
  6. Step 6: Final answer
    x = 68.85

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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.