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Finding the Fourth Proportional to 171.42, 257.14 and 68.77

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Solution

The fourth proportional to 171.42, 257.14 and 68.77 is: 103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.42 : 257.14 = 68.77 : x
  2. Step 2: Convert to fraction form
    171.42/257.14 = 68.77/x
  3. Step 3: Cross multiply
    171.42x = 257.14 × 68.77
  4. Step 4: Simplify right side
    171.42x = 17,684.79
  5. Step 5: Solve for x
    x = 17,684.79/171.42
  6. Step 6: Final answer
    x = 103.16

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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.