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Finding the Fourth Proportional to 59.62, 89.49 and 41.59

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Solution

The fourth proportional to 59.62, 89.49 and 41.59 is: 62.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.62 : 89.49 = 41.59 : x
  2. Step 2: Convert to fraction form
    59.62/89.49 = 41.59/x
  3. Step 3: Cross multiply
    59.62x = 89.49 × 41.59
  4. Step 4: Simplify right side
    59.62x = 3,721.89
  5. Step 5: Solve for x
    x = 3,721.89/59.62
  6. Step 6: Final answer
    x = 62.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.