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Finding the Fourth Proportional to 150.79, 208.11 and 107.14

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Solution

The fourth proportional to 150.79, 208.11 and 107.14 is: 147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.79 : 208.11 = 107.14 : x
  2. Step 2: Convert to fraction form
    150.79/208.11 = 107.14/x
  3. Step 3: Cross multiply
    150.79x = 208.11 × 107.14
  4. Step 4: Simplify right side
    150.79x = 22,296.91
  5. Step 5: Solve for x
    x = 22,296.91/150.79
  6. Step 6: Final answer
    x = 147.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.