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Finding the Fourth Proportional to 77.84, 107.44 and 52.02

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Solution

The fourth proportional to 77.84, 107.44 and 52.02 is: 71.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 107.44 = 52.02 : x
  2. Step 2: Convert to fraction form
    77.84/107.44 = 52.02/x
  3. Step 3: Cross multiply
    77.84x = 107.44 × 52.02
  4. Step 4: Simplify right side
    77.84x = 5,589.03
  5. Step 5: Solve for x
    x = 5,589.03/77.84
  6. Step 6: Final answer
    x = 71.80

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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.