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Finding the Fourth Proportional to 61.06, 84.22 and 36.50

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Solution

The fourth proportional to 61.06, 84.22 and 36.50 is: 50.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.06 : 84.22 = 36.50 : x
  2. Step 2: Convert to fraction form
    61.06/84.22 = 36.50/x
  3. Step 3: Cross multiply
    61.06x = 84.22 × 36.50
  4. Step 4: Simplify right side
    61.06x = 3,074.03
  5. Step 5: Solve for x
    x = 3,074.03/61.06
  6. Step 6: Final answer
    x = 50.34

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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.