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Finding the Fourth Proportional to 171.43, 256.56 and 103.08

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Solution

The fourth proportional to 171.43, 256.56 and 103.08 is: 154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.43 : 256.56 = 103.08 : x
  2. Step 2: Convert to fraction form
    171.43/256.56 = 103.08/x
  3. Step 3: Cross multiply
    171.43x = 256.56 × 103.08
  4. Step 4: Simplify right side
    171.43x = 26,446.20
  5. Step 5: Solve for x
    x = 26,446.20/171.43
  6. Step 6: Final answer
    x = 154.27

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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.