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Finding the Fourth Proportional to 171.36, 256.95 and 75.06

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Solution

The fourth proportional to 171.36, 256.95 and 75.06 is: 112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.36 : 256.95 = 75.06 : x
  2. Step 2: Convert to fraction form
    171.36/256.95 = 75.06/x
  3. Step 3: Cross multiply
    171.36x = 256.95 × 75.06
  4. Step 4: Simplify right side
    171.36x = 19,286.67
  5. Step 5: Solve for x
    x = 19,286.67/171.36
  6. Step 6: Final answer
    x = 112.55

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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.