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Finding the Fourth Proportional to 171.06, 256.41 and 74.76

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Solution

The fourth proportional to 171.06, 256.41 and 74.76 is: 112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.06 : 256.41 = 74.76 : x
  2. Step 2: Convert to fraction form
    171.06/256.41 = 74.76/x
  3. Step 3: Cross multiply
    171.06x = 256.41 × 74.76
  4. Step 4: Simplify right side
    171.06x = 19,169.21
  5. Step 5: Solve for x
    x = 19,169.21/171.06
  6. Step 6: Final answer
    x = 112.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.