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Finding the Fourth Proportional to 92.71, 139.05 and 31.83

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Solution

The fourth proportional to 92.71, 139.05 and 31.83 is: 47.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.71 : 139.05 = 31.83 : x
  2. Step 2: Convert to fraction form
    92.71/139.05 = 31.83/x
  3. Step 3: Cross multiply
    92.71x = 139.05 × 31.83
  4. Step 4: Simplify right side
    92.71x = 4,426.16
  5. Step 5: Solve for x
    x = 4,426.16/92.71
  6. Step 6: Final answer
    x = 47.74

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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.