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Finding the Fourth Proportional to 51.05, 76.62 and 44.36

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Solution

The fourth proportional to 51.05, 76.62 and 44.36 is: 66.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.05 : 76.62 = 44.36 : x
  2. Step 2: Convert to fraction form
    51.05/76.62 = 44.36/x
  3. Step 3: Cross multiply
    51.05x = 76.62 × 44.36
  4. Step 4: Simplify right side
    51.05x = 3,398.86
  5. Step 5: Solve for x
    x = 3,398.86/51.05
  6. Step 6: Final answer
    x = 66.58

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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.