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Finding the Fourth Proportional to 51.48, 77.30 and 44.76

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Solution

The fourth proportional to 51.48, 77.30 and 44.76 is: 67.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.48 : 77.30 = 44.76 : x
  2. Step 2: Convert to fraction form
    51.48/77.30 = 44.76/x
  3. Step 3: Cross multiply
    51.48x = 77.30 × 44.76
  4. Step 4: Simplify right side
    51.48x = 3,459.95
  5. Step 5: Solve for x
    x = 3,459.95/51.48
  6. Step 6: Final answer
    x = 67.21

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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.