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Finding the Fourth Proportional to 171.72, 257.59 and 43.47

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Solution

The fourth proportional to 171.72, 257.59 and 43.47 is: 65.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.72 : 257.59 = 43.47 : x
  2. Step 2: Convert to fraction form
    171.72/257.59 = 43.47/x
  3. Step 3: Cross multiply
    171.72x = 257.59 × 43.47
  4. Step 4: Simplify right side
    171.72x = 11,197.22
  5. Step 5: Solve for x
    x = 11,197.22/171.72
  6. Step 6: Final answer
    x = 65.21

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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.