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Finding the Fourth Proportional to 59.63, 82.32 and 44.14

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Solution

The fourth proportional to 59.63, 82.32 and 44.14 is: 60.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.63 : 82.32 = 44.14 : x
  2. Step 2: Convert to fraction form
    59.63/82.32 = 44.14/x
  3. Step 3: Cross multiply
    59.63x = 82.32 × 44.14
  4. Step 4: Simplify right side
    59.63x = 3,633.60
  5. Step 5: Solve for x
    x = 3,633.60/59.63
  6. Step 6: Final answer
    x = 60.94

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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.