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Finding the Fourth Proportional to 82.44, 113.76 and 56.24

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Solution

The fourth proportional to 82.44, 113.76 and 56.24 is: 77.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.44 : 113.76 = 56.24 : x
  2. Step 2: Convert to fraction form
    82.44/113.76 = 56.24/x
  3. Step 3: Cross multiply
    82.44x = 113.76 × 56.24
  4. Step 4: Simplify right side
    82.44x = 6,397.86
  5. Step 5: Solve for x
    x = 6,397.86/82.44
  6. Step 6: Final answer
    x = 77.61

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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.