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Finding the Fourth Proportional to 82.25, 113.59 and 57.65

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Solution

The fourth proportional to 82.25, 113.59 and 57.65 is: 79.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.25 : 113.59 = 57.65 : x
  2. Step 2: Convert to fraction form
    82.25/113.59 = 57.65/x
  3. Step 3: Cross multiply
    82.25x = 113.59 × 57.65
  4. Step 4: Simplify right side
    82.25x = 6,548.46
  5. Step 5: Solve for x
    x = 6,548.46/82.25
  6. Step 6: Final answer
    x = 79.62

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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.