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Finding the Fourth Proportional to 92.67, 139.02 and 75.57

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Solution

The fourth proportional to 92.67, 139.02 and 75.57 is: 113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.67 : 139.02 = 75.57 : x
  2. Step 2: Convert to fraction form
    92.67/139.02 = 75.57/x
  3. Step 3: Cross multiply
    92.67x = 139.02 × 75.57
  4. Step 4: Simplify right side
    92.67x = 10,505.74
  5. Step 5: Solve for x
    x = 10,505.74/92.67
  6. Step 6: Final answer
    x = 113.37

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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.