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Finding the Fourth Proportional to 274.35, 411.43 and 91.71

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Solution

The fourth proportional to 274.35, 411.43 and 91.71 is: 137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.35 : 411.43 = 91.71 : x
  2. Step 2: Convert to fraction form
    274.35/411.43 = 91.71/x
  3. Step 3: Cross multiply
    274.35x = 411.43 × 91.71
  4. Step 4: Simplify right side
    274.35x = 37,731.42
  5. Step 5: Solve for x
    x = 37,731.42/274.35
  6. Step 6: Final answer
    x = 137.53

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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.