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Finding the Fourth Proportional to 59.75, 82.42 and 39.05

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Solution

The fourth proportional to 59.75, 82.42 and 39.05 is: 53.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.75 : 82.42 = 39.05 : x
  2. Step 2: Convert to fraction form
    59.75/82.42 = 39.05/x
  3. Step 3: Cross multiply
    59.75x = 82.42 × 39.05
  4. Step 4: Simplify right side
    59.75x = 3,218.30
  5. Step 5: Solve for x
    x = 3,218.30/59.75
  6. Step 6: Final answer
    x = 53.86

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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.