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Finding the Fourth Proportional to 56.31, 84.54 and 40.38

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Solution

The fourth proportional to 56.31, 84.54 and 40.38 is: 60.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.31 : 84.54 = 40.38 : x
  2. Step 2: Convert to fraction form
    56.31/84.54 = 40.38/x
  3. Step 3: Cross multiply
    56.31x = 84.54 × 40.38
  4. Step 4: Simplify right side
    56.31x = 3,413.73
  5. Step 5: Solve for x
    x = 3,413.73/56.31
  6. Step 6: Final answer
    x = 60.62

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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.