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Finding the Fourth Proportional to 59.78, 82.50 and 33.55

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Solution

The fourth proportional to 59.78, 82.50 and 33.55 is: 46.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.78 : 82.50 = 33.55 : x
  2. Step 2: Convert to fraction form
    59.78/82.50 = 33.55/x
  3. Step 3: Cross multiply
    59.78x = 82.50 × 33.55
  4. Step 4: Simplify right side
    59.78x = 2,767.97
  5. Step 5: Solve for x
    x = 2,767.97/59.78
  6. Step 6: Final answer
    x = 46.30

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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.