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Finding the Fourth Proportional to 77.53, 106.94 and 48.44

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Solution

The fourth proportional to 77.53, 106.94 and 48.44 is: 66.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.53 : 106.94 = 48.44 : x
  2. Step 2: Convert to fraction form
    77.53/106.94 = 48.44/x
  3. Step 3: Cross multiply
    77.53x = 106.94 × 48.44
  4. Step 4: Simplify right side
    77.53x = 5,180.17
  5. Step 5: Solve for x
    x = 5,180.17/77.53
  6. Step 6: Final answer
    x = 66.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.