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Finding the Fourth Proportional to 176.57, 265.01 and 68.44

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Solution

The fourth proportional to 176.57, 265.01 and 68.44 is: 102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.57 : 265.01 = 68.44 : x
  2. Step 2: Convert to fraction form
    176.57/265.01 = 68.44/x
  3. Step 3: Cross multiply
    176.57x = 265.01 × 68.44
  4. Step 4: Simplify right side
    176.57x = 18,135.62
  5. Step 5: Solve for x
    x = 18,135.62/176.57
  6. Step 6: Final answer
    x = 102.71

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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.