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Finding the Fourth Proportional to 61.39, 92.03 and 20.80

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Solution

The fourth proportional to 61.39, 92.03 and 20.80 is: 31.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.39 : 92.03 = 20.80 : x
  2. Step 2: Convert to fraction form
    61.39/92.03 = 20.80/x
  3. Step 3: Cross multiply
    61.39x = 92.03 × 20.80
  4. Step 4: Simplify right side
    61.39x = 1,914.31
  5. Step 5: Solve for x
    x = 1,914.31/61.39
  6. Step 6: Final answer
    x = 31.18

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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.