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Finding the Fourth Proportional to 177.23, 265.71 and 85.97

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Solution

The fourth proportional to 177.23, 265.71 and 85.97 is: 128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.23 : 265.71 = 85.97 : x
  2. Step 2: Convert to fraction form
    177.23/265.71 = 85.97/x
  3. Step 3: Cross multiply
    177.23x = 265.71 × 85.97
  4. Step 4: Simplify right side
    177.23x = 22,843.09
  5. Step 5: Solve for x
    x = 22,843.09/177.23
  6. Step 6: Final answer
    x = 128.89

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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.