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Finding the Fourth Proportional to 51.07, 76.57 and 41.43

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Solution

The fourth proportional to 51.07, 76.57 and 41.43 is: 62.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.07 : 76.57 = 41.43 : x
  2. Step 2: Convert to fraction form
    51.07/76.57 = 41.43/x
  3. Step 3: Cross multiply
    51.07x = 76.57 × 41.43
  4. Step 4: Simplify right side
    51.07x = 3,172.30
  5. Step 5: Solve for x
    x = 3,172.30/51.07
  6. Step 6: Final answer
    x = 62.12

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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.