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Finding the Fourth Proportional to 274.32, 411.51 and 81.93

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Solution

The fourth proportional to 274.32, 411.51 and 81.93 is: 122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 411.51 = 81.93 : x
  2. Step 2: Convert to fraction form
    274.32/411.51 = 81.93/x
  3. Step 3: Cross multiply
    274.32x = 411.51 × 81.93
  4. Step 4: Simplify right side
    274.32x = 33,715.01
  5. Step 5: Solve for x
    x = 33,715.01/274.32
  6. Step 6: Final answer
    x = 122.90

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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.