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Finding the Fourth Proportional to 118.30, 177.46 and 37.14

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Solution

The fourth proportional to 118.30, 177.46 and 37.14 is: 55.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.30 : 177.46 = 37.14 : x
  2. Step 2: Convert to fraction form
    118.30/177.46 = 37.14/x
  3. Step 3: Cross multiply
    118.30x = 177.46 × 37.14
  4. Step 4: Simplify right side
    118.30x = 6,590.86
  5. Step 5: Solve for x
    x = 6,590.86/118.30
  6. Step 6: Final answer
    x = 55.71

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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.