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Finding the Fourth Proportional to 51.26, 76.80 and 37.66

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Solution

The fourth proportional to 51.26, 76.80 and 37.66 is: 56.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.26 : 76.80 = 37.66 : x
  2. Step 2: Convert to fraction form
    51.26/76.80 = 37.66/x
  3. Step 3: Cross multiply
    51.26x = 76.80 × 37.66
  4. Step 4: Simplify right side
    51.26x = 2,892.29
  5. Step 5: Solve for x
    x = 2,892.29/51.26
  6. Step 6: Final answer
    x = 56.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.