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Finding the Fourth Proportional to 51.66, 76.92 and 51.52

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Solution

The fourth proportional to 51.66, 76.92 and 51.52 is: 76.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.66 : 76.92 = 51.52 : x
  2. Step 2: Convert to fraction form
    51.66/76.92 = 51.52/x
  3. Step 3: Cross multiply
    51.66x = 76.92 × 51.52
  4. Step 4: Simplify right side
    51.66x = 3,962.92
  5. Step 5: Solve for x
    x = 3,962.92/51.66
  6. Step 6: Final answer
    x = 76.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.