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Finding the Fourth Proportional to 59.66, 82.33 and 33.78

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Solution

The fourth proportional to 59.66, 82.33 and 33.78 is: 46.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.66 : 82.33 = 33.78 : x
  2. Step 2: Convert to fraction form
    59.66/82.33 = 33.78/x
  3. Step 3: Cross multiply
    59.66x = 82.33 × 33.78
  4. Step 4: Simplify right side
    59.66x = 2,781.11
  5. Step 5: Solve for x
    x = 2,781.11/59.66
  6. Step 6: Final answer
    x = 46.62

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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.