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Finding the Fourth Proportional to 118.04, 177.09 and 36.88

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Solution

The fourth proportional to 118.04, 177.09 and 36.88 is: 55.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.04 : 177.09 = 36.88 : x
  2. Step 2: Convert to fraction form
    118.04/177.09 = 36.88/x
  3. Step 3: Cross multiply
    118.04x = 177.09 × 36.88
  4. Step 4: Simplify right side
    118.04x = 6,531.43
  5. Step 5: Solve for x
    x = 6,531.43/118.04
  6. Step 6: Final answer
    x = 55.33

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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.