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Finding the Fourth Proportional to 171.42, 257.00 and 89.12

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Solution

The fourth proportional to 171.42, 257.00 and 89.12 is: 133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.42 : 257.00 = 89.12 : x
  2. Step 2: Convert to fraction form
    171.42/257.00 = 89.12/x
  3. Step 3: Cross multiply
    171.42x = 257.00 × 89.12
  4. Step 4: Simplify right side
    171.42x = 22,902.59
  5. Step 5: Solve for x
    x = 22,902.59/171.42
  6. Step 6: Final answer
    x = 133.61

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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.