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Finding the Fourth Proportional to 60.73, 83.81 and 36.16

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Solution

The fourth proportional to 60.73, 83.81 and 36.16 is: 49.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.73 : 83.81 = 36.16 : x
  2. Step 2: Convert to fraction form
    60.73/83.81 = 36.16/x
  3. Step 3: Cross multiply
    60.73x = 83.81 × 36.16
  4. Step 4: Simplify right side
    60.73x = 3,030.57
  5. Step 5: Solve for x
    x = 3,030.57/60.73
  6. Step 6: Final answer
    x = 49.90

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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.