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Finding the Fourth Proportional to 171.65, 257.51 and 75.48

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Solution

The fourth proportional to 171.65, 257.51 and 75.48 is: 113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.65 : 257.51 = 75.48 : x
  2. Step 2: Convert to fraction form
    171.65/257.51 = 75.48/x
  3. Step 3: Cross multiply
    171.65x = 257.51 × 75.48
  4. Step 4: Simplify right side
    171.65x = 19,437.04
  5. Step 5: Solve for x
    x = 19,437.04/171.65
  6. Step 6: Final answer
    x = 113.24

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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.