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Finding the Fourth Proportional to 177.63, 245.11 and 106.73

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Solution

The fourth proportional to 177.63, 245.11 and 106.73 is: 147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.63 : 245.11 = 106.73 : x
  2. Step 2: Convert to fraction form
    177.63/245.11 = 106.73/x
  3. Step 3: Cross multiply
    177.63x = 245.11 × 106.73
  4. Step 4: Simplify right side
    177.63x = 26,160.22
  5. Step 5: Solve for x
    x = 26,160.22/177.63
  6. Step 6: Final answer
    x = 147.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.