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Finding the Fourth Proportional to 59.13, 81.55 and 38.41

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Solution

The fourth proportional to 59.13, 81.55 and 38.41 is: 52.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.13 : 81.55 = 38.41 : x
  2. Step 2: Convert to fraction form
    59.13/81.55 = 38.41/x
  3. Step 3: Cross multiply
    59.13x = 81.55 × 38.41
  4. Step 4: Simplify right side
    59.13x = 3,131.74
  5. Step 5: Solve for x
    x = 3,131.74/59.13
  6. Step 6: Final answer
    x = 52.97

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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.