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Finding the Fourth Proportional to 82.54, 113.97 and 56.71

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Solution

The fourth proportional to 82.54, 113.97 and 56.71 is: 78.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.54 : 113.97 = 56.71 : x
  2. Step 2: Convert to fraction form
    82.54/113.97 = 56.71/x
  3. Step 3: Cross multiply
    82.54x = 113.97 × 56.71
  4. Step 4: Simplify right side
    82.54x = 6,463.24
  5. Step 5: Solve for x
    x = 6,463.24/82.54
  6. Step 6: Final answer
    x = 78.30

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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.