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Finding the Fourth Proportional to 60.82, 83.64 and 59.20

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Solution

The fourth proportional to 60.82, 83.64 and 59.20 is: 81.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.82 : 83.64 = 59.20 : x
  2. Step 2: Convert to fraction form
    60.82/83.64 = 59.20/x
  3. Step 3: Cross multiply
    60.82x = 83.64 × 59.20
  4. Step 4: Simplify right side
    60.82x = 4,951.49
  5. Step 5: Solve for x
    x = 4,951.49/60.82
  6. Step 6: Final answer
    x = 81.41

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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.