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Finding the Fourth Proportional to 92.86, 139.22 and 47.22

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Solution

The fourth proportional to 92.86, 139.22 and 47.22 is: 70.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.86 : 139.22 = 47.22 : x
  2. Step 2: Convert to fraction form
    92.86/139.22 = 47.22/x
  3. Step 3: Cross multiply
    92.86x = 139.22 × 47.22
  4. Step 4: Simplify right side
    92.86x = 6,573.97
  5. Step 5: Solve for x
    x = 6,573.97/92.86
  6. Step 6: Final answer
    x = 70.79

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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.