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Finding the Fourth Proportional to 177.57, 266.11 and 86.09

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Solution

The fourth proportional to 177.57, 266.11 and 86.09 is: 129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.57 : 266.11 = 86.09 : x
  2. Step 2: Convert to fraction form
    177.57/266.11 = 86.09/x
  3. Step 3: Cross multiply
    177.57x = 266.11 × 86.09
  4. Step 4: Simplify right side
    177.57x = 22,909.41
  5. Step 5: Solve for x
    x = 22,909.41/177.57
  6. Step 6: Final answer
    x = 129.02

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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.