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Finding the Fourth Proportional to 82.26, 113.53 and 52.78

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Solution

The fourth proportional to 82.26, 113.53 and 52.78 is: 72.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.26 : 113.53 = 52.78 : x
  2. Step 2: Convert to fraction form
    82.26/113.53 = 52.78/x
  3. Step 3: Cross multiply
    82.26x = 113.53 × 52.78
  4. Step 4: Simplify right side
    82.26x = 5,992.11
  5. Step 5: Solve for x
    x = 5,992.11/82.26
  6. Step 6: Final answer
    x = 72.84

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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.