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Finding the Fourth Proportional to 171.88, 257.84 and 85.36

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Solution

The fourth proportional to 171.88, 257.84 and 85.36 is: 128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.88 : 257.84 = 85.36 : x
  2. Step 2: Convert to fraction form
    171.88/257.84 = 85.36/x
  3. Step 3: Cross multiply
    171.88x = 257.84 × 85.36
  4. Step 4: Simplify right side
    171.88x = 22,009.22
  5. Step 5: Solve for x
    x = 22,009.22/171.88
  6. Step 6: Final answer
    x = 128.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.