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Finding the Fourth Proportional to 171.82, 257.08 and 102.15

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Solution

The fourth proportional to 171.82, 257.08 and 102.15 is: 152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.82 : 257.08 = 102.15 : x
  2. Step 2: Convert to fraction form
    171.82/257.08 = 102.15/x
  3. Step 3: Cross multiply
    171.82x = 257.08 × 102.15
  4. Step 4: Simplify right side
    171.82x = 26,260.66
  5. Step 5: Solve for x
    x = 26,260.66/171.82
  6. Step 6: Final answer
    x = 152.84

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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.