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Finding the Fourth Proportional to 50.81, 70.04 and 36.23

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Solution

The fourth proportional to 50.81, 70.04 and 36.23 is: 49.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.81 : 70.04 = 36.23 : x
  2. Step 2: Convert to fraction form
    50.81/70.04 = 36.23/x
  3. Step 3: Cross multiply
    50.81x = 70.04 × 36.23
  4. Step 4: Simplify right side
    50.81x = 2,537.29
  5. Step 5: Solve for x
    x = 2,537.29/50.81
  6. Step 6: Final answer
    x = 49.94

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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.