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Finding the Fourth Proportional to 118.50, 177.75 and 33

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Solution

The fourth proportional to 118.50, 177.75 and 33 is: 49.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.50 : 177.75 = 33 : x
  2. Step 2: Convert to fraction form
    118.50/177.75 = 33/x
  3. Step 3: Cross multiply
    118.50x = 177.75 × 33
  4. Step 4: Simplify right side
    118.50x = 5,865.75
  5. Step 5: Solve for x
    x = 5,865.75/118.50
  6. Step 6: Final answer
    x = 49.50

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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.