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Finding the Fourth Proportional to 59.63, 82.23 and 38.90

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Solution

The fourth proportional to 59.63, 82.23 and 38.90 is: 53.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.63 : 82.23 = 38.90 : x
  2. Step 2: Convert to fraction form
    59.63/82.23 = 38.90/x
  3. Step 3: Cross multiply
    59.63x = 82.23 × 38.90
  4. Step 4: Simplify right side
    59.63x = 3,198.75
  5. Step 5: Solve for x
    x = 3,198.75/59.63
  6. Step 6: Final answer
    x = 53.64

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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.