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Finding the Fourth Proportional to 53.69, 74.09 and 36.23

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Solution

The fourth proportional to 53.69, 74.09 and 36.23 is: 49.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.69 : 74.09 = 36.23 : x
  2. Step 2: Convert to fraction form
    53.69/74.09 = 36.23/x
  3. Step 3: Cross multiply
    53.69x = 74.09 × 36.23
  4. Step 4: Simplify right side
    53.69x = 2,683.73
  5. Step 5: Solve for x
    x = 2,683.73/53.69
  6. Step 6: Final answer
    x = 49.99

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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.