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Finding the Fourth Proportional to 82.21, 113.49 and 56.47

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Solution

The fourth proportional to 82.21, 113.49 and 56.47 is: 77.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.21 : 113.49 = 56.47 : x
  2. Step 2: Convert to fraction form
    82.21/113.49 = 56.47/x
  3. Step 3: Cross multiply
    82.21x = 113.49 × 56.47
  4. Step 4: Simplify right side
    82.21x = 6,408.78
  5. Step 5: Solve for x
    x = 6,408.78/82.21
  6. Step 6: Final answer
    x = 77.96

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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.