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Finding the Fourth Proportional to 171.68, 257.14 and 86

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Solution

The fourth proportional to 171.68, 257.14 and 86 is: 128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.68 : 257.14 = 86 : x
  2. Step 2: Convert to fraction form
    171.68/257.14 = 86/x
  3. Step 3: Cross multiply
    171.68x = 257.14 × 86
  4. Step 4: Simplify right side
    171.68x = 22,114.04
  5. Step 5: Solve for x
    x = 22,114.04/171.68
  6. Step 6: Final answer
    x = 128.81

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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.