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Finding the Fourth Proportional to 171.84, 257.87 and 69.22

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Solution

The fourth proportional to 171.84, 257.87 and 69.22 is: 103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.84 : 257.87 = 69.22 : x
  2. Step 2: Convert to fraction form
    171.84/257.87 = 69.22/x
  3. Step 3: Cross multiply
    171.84x = 257.87 × 69.22
  4. Step 4: Simplify right side
    171.84x = 17,849.76
  5. Step 5: Solve for x
    x = 17,849.76/171.84
  6. Step 6: Final answer
    x = 103.87

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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.