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Finding the Fourth Proportional to 59.65, 82.33 and 38.94

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Solution

The fourth proportional to 59.65, 82.33 and 38.94 is: 53.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.65 : 82.33 = 38.94 : x
  2. Step 2: Convert to fraction form
    59.65/82.33 = 38.94/x
  3. Step 3: Cross multiply
    59.65x = 82.33 × 38.94
  4. Step 4: Simplify right side
    59.65x = 3,205.52
  5. Step 5: Solve for x
    x = 3,205.52/59.65
  6. Step 6: Final answer
    x = 53.74

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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.