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Finding the Fourth Proportional to 92.46, 138.71 and 30.74

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Solution

The fourth proportional to 92.46, 138.71 and 30.74 is: 46.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.46 : 138.71 = 30.74 : x
  2. Step 2: Convert to fraction form
    92.46/138.71 = 30.74/x
  3. Step 3: Cross multiply
    92.46x = 138.71 × 30.74
  4. Step 4: Simplify right side
    92.46x = 4,263.97
  5. Step 5: Solve for x
    x = 4,263.97/92.46
  6. Step 6: Final answer
    x = 46.12

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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.