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Finding the Fourth Proportional to 59.41, 81.80 and 50.65

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Solution

The fourth proportional to 59.41, 81.80 and 50.65 is: 69.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.41 : 81.80 = 50.65 : x
  2. Step 2: Convert to fraction form
    59.41/81.80 = 50.65/x
  3. Step 3: Cross multiply
    59.41x = 81.80 × 50.65
  4. Step 4: Simplify right side
    59.41x = 4,143.17
  5. Step 5: Solve for x
    x = 4,143.17/59.41
  6. Step 6: Final answer
    x = 69.74

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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.