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Finding the Fourth Proportional to 59.25, 81.74 and 35.95

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Solution

The fourth proportional to 59.25, 81.74 and 35.95 is: 49.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.25 : 81.74 = 35.95 : x
  2. Step 2: Convert to fraction form
    59.25/81.74 = 35.95/x
  3. Step 3: Cross multiply
    59.25x = 81.74 × 35.95
  4. Step 4: Simplify right side
    59.25x = 2,938.14
  5. Step 5: Solve for x
    x = 2,938.14/59.25
  6. Step 6: Final answer
    x = 49.59

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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.