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Finding the Fourth Proportional to 170.92, 256.49 and 62.71

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Solution

The fourth proportional to 170.92, 256.49 and 62.71 is: 94.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.92 : 256.49 = 62.71 : x
  2. Step 2: Convert to fraction form
    170.92/256.49 = 62.71/x
  3. Step 3: Cross multiply
    170.92x = 256.49 × 62.71
  4. Step 4: Simplify right side
    170.92x = 16,082.89
  5. Step 5: Solve for x
    x = 16,082.89/170.92
  6. Step 6: Final answer
    x = 94.10

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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.