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Finding the Fourth Proportional to 51.74, 71.90 and 51.54

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Solution

The fourth proportional to 51.74, 71.90 and 51.54 is: 71.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.74 : 71.90 = 51.54 : x
  2. Step 2: Convert to fraction form
    51.74/71.90 = 51.54/x
  3. Step 3: Cross multiply
    51.74x = 71.90 × 51.54
  4. Step 4: Simplify right side
    51.74x = 3,705.47
  5. Step 5: Solve for x
    x = 3,705.47/51.74
  6. Step 6: Final answer
    x = 71.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.