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Finding the Fourth Proportional to 59.49, 82.12 and 41.55

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Solution

The fourth proportional to 59.49, 82.12 and 41.55 is: 57.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.49 : 82.12 = 41.55 : x
  2. Step 2: Convert to fraction form
    59.49/82.12 = 41.55/x
  3. Step 3: Cross multiply
    59.49x = 82.12 × 41.55
  4. Step 4: Simplify right side
    59.49x = 3,412.09
  5. Step 5: Solve for x
    x = 3,412.09/59.49
  6. Step 6: Final answer
    x = 57.36

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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.