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Finding the Fourth Proportional to 59.26, 81.80 and 35.95

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Solution

The fourth proportional to 59.26, 81.80 and 35.95 is: 49.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.26 : 81.80 = 35.95 : x
  2. Step 2: Convert to fraction form
    59.26/81.80 = 35.95/x
  3. Step 3: Cross multiply
    59.26x = 81.80 × 35.95
  4. Step 4: Simplify right side
    59.26x = 2,940.71
  5. Step 5: Solve for x
    x = 2,940.71/59.26
  6. Step 6: Final answer
    x = 49.62

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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.