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Finding the Fourth Proportional to 92.85, 138.88 and 73.41

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Solution

The fourth proportional to 92.85, 138.88 and 73.41 is: 109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.85 : 138.88 = 73.41 : x
  2. Step 2: Convert to fraction form
    92.85/138.88 = 73.41/x
  3. Step 3: Cross multiply
    92.85x = 138.88 × 73.41
  4. Step 4: Simplify right side
    92.85x = 10,194.75
  5. Step 5: Solve for x
    x = 10,194.75/92.85
  6. Step 6: Final answer
    x = 109.80

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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.