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Finding the Fourth Proportional to 59.85, 89.46 and 41.85

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Solution

The fourth proportional to 59.85, 89.46 and 41.85 is: 62.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.85 : 89.46 = 41.85 : x
  2. Step 2: Convert to fraction form
    59.85/89.46 = 41.85/x
  3. Step 3: Cross multiply
    59.85x = 89.46 × 41.85
  4. Step 4: Simplify right side
    59.85x = 3,743.90
  5. Step 5: Solve for x
    x = 3,743.90/59.85
  6. Step 6: Final answer
    x = 62.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.