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Finding the Fourth Proportional to 77.84, 107.41 and 48.72

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Solution

The fourth proportional to 77.84, 107.41 and 48.72 is: 67.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 107.41 = 48.72 : x
  2. Step 2: Convert to fraction form
    77.84/107.41 = 48.72/x
  3. Step 3: Cross multiply
    77.84x = 107.41 × 48.72
  4. Step 4: Simplify right side
    77.84x = 5,233.02
  5. Step 5: Solve for x
    x = 5,233.02/77.84
  6. Step 6: Final answer
    x = 67.23

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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.