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Finding the Fourth Proportional to 51.04, 76.24 and 43.80

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Solution

The fourth proportional to 51.04, 76.24 and 43.80 is: 65.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.04 : 76.24 = 43.80 : x
  2. Step 2: Convert to fraction form
    51.04/76.24 = 43.80/x
  3. Step 3: Cross multiply
    51.04x = 76.24 × 43.80
  4. Step 4: Simplify right side
    51.04x = 3,339.31
  5. Step 5: Solve for x
    x = 3,339.31/51.04
  6. Step 6: Final answer
    x = 65.43

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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.