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Finding the Fourth Proportional to 51.28, 76.86 and 37.80

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Solution

The fourth proportional to 51.28, 76.86 and 37.80 is: 56.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.28 : 76.86 = 37.80 : x
  2. Step 2: Convert to fraction form
    51.28/76.86 = 37.80/x
  3. Step 3: Cross multiply
    51.28x = 76.86 × 37.80
  4. Step 4: Simplify right side
    51.28x = 2,905.31
  5. Step 5: Solve for x
    x = 2,905.31/51.28
  6. Step 6: Final answer
    x = 56.66

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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.