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Finding the Fourth Proportional to 118.20, 177.31 and 37.04

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Solution

The fourth proportional to 118.20, 177.31 and 37.04 is: 55.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.20 : 177.31 = 37.04 : x
  2. Step 2: Convert to fraction form
    118.20/177.31 = 37.04/x
  3. Step 3: Cross multiply
    118.20x = 177.31 × 37.04
  4. Step 4: Simplify right side
    118.20x = 6,567.56
  5. Step 5: Solve for x
    x = 6,567.56/118.20
  6. Step 6: Final answer
    x = 55.56

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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.