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Finding the Fourth Proportional to 51.74, 77.62 and 40.30

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Solution

The fourth proportional to 51.74, 77.62 and 40.30 is: 60.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.74 : 77.62 = 40.30 : x
  2. Step 2: Convert to fraction form
    51.74/77.62 = 40.30/x
  3. Step 3: Cross multiply
    51.74x = 77.62 × 40.30
  4. Step 4: Simplify right side
    51.74x = 3,128.09
  5. Step 5: Solve for x
    x = 3,128.09/51.74
  6. Step 6: Final answer
    x = 60.46

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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.