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Finding the Fourth Proportional to 177.10, 265.73 and 85.88

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Solution

The fourth proportional to 177.10, 265.73 and 85.88 is: 128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.10 : 265.73 = 85.88 : x
  2. Step 2: Convert to fraction form
    177.10/265.73 = 85.88/x
  3. Step 3: Cross multiply
    177.10x = 265.73 × 85.88
  4. Step 4: Simplify right side
    177.10x = 22,821.13
  5. Step 5: Solve for x
    x = 22,821.13/177.10
  6. Step 6: Final answer
    x = 128.86

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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.