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Finding the Fourth Proportional to 60.37, 83.77 and 59.59

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Solution

The fourth proportional to 60.37, 83.77 and 59.59 is: 82.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.37 : 83.77 = 59.59 : x
  2. Step 2: Convert to fraction form
    60.37/83.77 = 59.59/x
  3. Step 3: Cross multiply
    60.37x = 83.77 × 59.59
  4. Step 4: Simplify right side
    60.37x = 4,991.85
  5. Step 5: Solve for x
    x = 4,991.85/60.37
  6. Step 6: Final answer
    x = 82.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.