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Finding the Fourth Proportional to 53.81, 80.19 and 52.33

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Solution

The fourth proportional to 53.81, 80.19 and 52.33 is: 77.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.81 : 80.19 = 52.33 : x
  2. Step 2: Convert to fraction form
    53.81/80.19 = 52.33/x
  3. Step 3: Cross multiply
    53.81x = 80.19 × 52.33
  4. Step 4: Simplify right side
    53.81x = 4,196.07
  5. Step 5: Solve for x
    x = 4,196.07/53.81
  6. Step 6: Final answer
    x = 77.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.