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Finding the Fourth Proportional to 59.24, 81.72 and 44.66

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Solution

The fourth proportional to 59.24, 81.72 and 44.66 is: 61.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.24 : 81.72 = 44.66 : x
  2. Step 2: Convert to fraction form
    59.24/81.72 = 44.66/x
  3. Step 3: Cross multiply
    59.24x = 81.72 × 44.66
  4. Step 4: Simplify right side
    59.24x = 3,649.62
  5. Step 5: Solve for x
    x = 3,649.62/59.24
  6. Step 6: Final answer
    x = 61.61

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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.