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Finding the Fourth Proportional to 60.77, 83.82 and 36.19

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Solution

The fourth proportional to 60.77, 83.82 and 36.19 is: 49.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.77 : 83.82 = 36.19 : x
  2. Step 2: Convert to fraction form
    60.77/83.82 = 36.19/x
  3. Step 3: Cross multiply
    60.77x = 83.82 × 36.19
  4. Step 4: Simplify right side
    60.77x = 3,033.69
  5. Step 5: Solve for x
    x = 3,033.69/60.77
  6. Step 6: Final answer
    x = 49.92

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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.