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Finding the Fourth Proportional to 53.57, 80.33 and 23.13

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Solution

The fourth proportional to 53.57, 80.33 and 23.13 is: 34.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.57 : 80.33 = 23.13 : x
  2. Step 2: Convert to fraction form
    53.57/80.33 = 23.13/x
  3. Step 3: Cross multiply
    53.57x = 80.33 × 23.13
  4. Step 4: Simplify right side
    53.57x = 1,857.92
  5. Step 5: Solve for x
    x = 1,857.92/53.57
  6. Step 6: Final answer
    x = 34.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.