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Finding the Fourth Proportional to 82, 113.01 and 52.84

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Solution

The fourth proportional to 82, 113.01 and 52.84 is: 72.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 113.01 = 52.84 : x
  2. Step 2: Convert to fraction form
    82/113.01 = 52.84/x
  3. Step 3: Cross multiply
    82x = 113.01 × 52.84
  4. Step 4: Simplify right side
    82x = 5,971.18
  5. Step 5: Solve for x
    x = 5,971.18/82
  6. Step 6: Final answer
    x = 72.82

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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.