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Finding the Fourth Proportional to 118.44, 177.64 and 37.29

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Solution

The fourth proportional to 118.44, 177.64 and 37.29 is: 55.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.44 : 177.64 = 37.29 : x
  2. Step 2: Convert to fraction form
    118.44/177.64 = 37.29/x
  3. Step 3: Cross multiply
    118.44x = 177.64 × 37.29
  4. Step 4: Simplify right side
    118.44x = 6,623.48
  5. Step 5: Solve for x
    x = 6,623.48/118.44
  6. Step 6: Final answer
    x = 55.92

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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.