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Finding the Fourth Proportional to 59.94, 82.80 and 41.61

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Solution

The fourth proportional to 59.94, 82.80 and 41.61 is: 57.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.94 : 82.80 = 41.61 : x
  2. Step 2: Convert to fraction form
    59.94/82.80 = 41.61/x
  3. Step 3: Cross multiply
    59.94x = 82.80 × 41.61
  4. Step 4: Simplify right side
    59.94x = 3,445.31
  5. Step 5: Solve for x
    x = 3,445.31/59.94
  6. Step 6: Final answer
    x = 57.48

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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.