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Finding the Fourth Proportional to 171.69, 257.68 and 94.71

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Solution

The fourth proportional to 171.69, 257.68 and 94.71 is: 142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.69 : 257.68 = 94.71 : x
  2. Step 2: Convert to fraction form
    171.69/257.68 = 94.71/x
  3. Step 3: Cross multiply
    171.69x = 257.68 × 94.71
  4. Step 4: Simplify right side
    171.69x = 24,403.11
  5. Step 5: Solve for x
    x = 24,403.11/171.69
  6. Step 6: Final answer
    x = 142.13

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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.