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Finding the Fourth Proportional to 138.75, 208.22 and 74.63

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Solution

The fourth proportional to 138.75, 208.22 and 74.63 is: 111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.75 : 208.22 = 74.63 : x
  2. Step 2: Convert to fraction form
    138.75/208.22 = 74.63/x
  3. Step 3: Cross multiply
    138.75x = 208.22 × 74.63
  4. Step 4: Simplify right side
    138.75x = 15,538.04
  5. Step 5: Solve for x
    x = 15,538.04/138.75
  6. Step 6: Final answer
    x = 111.99

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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.