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Finding the Fourth Proportional to 61.82, 85.34 and 40

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Solution

The fourth proportional to 61.82, 85.34 and 40 is: 55.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.82 : 85.34 = 40 : x
  2. Step 2: Convert to fraction form
    61.82/85.34 = 40/x
  3. Step 3: Cross multiply
    61.82x = 85.34 × 40
  4. Step 4: Simplify right side
    61.82x = 3,413.60
  5. Step 5: Solve for x
    x = 3,413.60/61.82
  6. Step 6: Final answer
    x = 55.22

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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.