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Finding the Fourth Proportional to 118.75, 178.21 and 42.75

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Solution

The fourth proportional to 118.75, 178.21 and 42.75 is: 64.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.75 : 178.21 = 42.75 : x
  2. Step 2: Convert to fraction form
    118.75/178.21 = 42.75/x
  3. Step 3: Cross multiply
    118.75x = 178.21 × 42.75
  4. Step 4: Simplify right side
    118.75x = 7,618.26
  5. Step 5: Solve for x
    x = 7,618.26/118.75
  6. Step 6: Final answer
    x = 64.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.