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Finding the Fourth Proportional to 171.74, 257.53 and 85.10

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Solution

The fourth proportional to 171.74, 257.53 and 85.10 is: 127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.74 : 257.53 = 85.10 : x
  2. Step 2: Convert to fraction form
    171.74/257.53 = 85.10/x
  3. Step 3: Cross multiply
    171.74x = 257.53 × 85.10
  4. Step 4: Simplify right side
    171.74x = 21,915.91
  5. Step 5: Solve for x
    x = 21,915.91/171.74
  6. Step 6: Final answer
    x = 127.61

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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.