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Finding the Fourth Proportional to 177.09, 265.56 and 85.83

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Solution

The fourth proportional to 177.09, 265.56 and 85.83 is: 128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.09 : 265.56 = 85.83 : x
  2. Step 2: Convert to fraction form
    177.09/265.56 = 85.83/x
  3. Step 3: Cross multiply
    177.09x = 265.56 × 85.83
  4. Step 4: Simplify right side
    177.09x = 22,793.01
  5. Step 5: Solve for x
    x = 22,793.01/177.09
  6. Step 6: Final answer
    x = 128.71

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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.