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Finding the Fourth Proportional to 52.27, 72.31 and 40.73

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Solution

The fourth proportional to 52.27, 72.31 and 40.73 is: 56.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.27 : 72.31 = 40.73 : x
  2. Step 2: Convert to fraction form
    52.27/72.31 = 40.73/x
  3. Step 3: Cross multiply
    52.27x = 72.31 × 40.73
  4. Step 4: Simplify right side
    52.27x = 2,945.08
  5. Step 5: Solve for x
    x = 2,945.08/52.27
  6. Step 6: Final answer
    x = 56.34

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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.