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Finding the Fourth Proportional to 92.78, 139.18 and 31.90

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Solution

The fourth proportional to 92.78, 139.18 and 31.90 is: 47.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.78 : 139.18 = 31.90 : x
  2. Step 2: Convert to fraction form
    92.78/139.18 = 31.90/x
  3. Step 3: Cross multiply
    92.78x = 139.18 × 31.90
  4. Step 4: Simplify right side
    92.78x = 4,440.46
  5. Step 5: Solve for x
    x = 4,440.46/92.78
  6. Step 6: Final answer
    x = 47.86

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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.