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Finding the Fourth Proportional to 118.23, 177.33 and 37.05

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Solution

The fourth proportional to 118.23, 177.33 and 37.05 is: 55.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.23 : 177.33 = 37.05 : x
  2. Step 2: Convert to fraction form
    118.23/177.33 = 37.05/x
  3. Step 3: Cross multiply
    118.23x = 177.33 × 37.05
  4. Step 4: Simplify right side
    118.23x = 6,570.08
  5. Step 5: Solve for x
    x = 6,570.08/118.23
  6. Step 6: Final answer
    x = 55.57

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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.