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Finding the Fourth Proportional to 92.75, 139.15 and 31.89

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Solution

The fourth proportional to 92.75, 139.15 and 31.89 is: 47.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.75 : 139.15 = 31.89 : x
  2. Step 2: Convert to fraction form
    92.75/139.15 = 31.89/x
  3. Step 3: Cross multiply
    92.75x = 139.15 × 31.89
  4. Step 4: Simplify right side
    92.75x = 4,437.49
  5. Step 5: Solve for x
    x = 4,437.49/92.75
  6. Step 6: Final answer
    x = 47.84

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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.