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Finding the Fourth Proportional to 150.01, 206.89 and 100.78

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Solution

The fourth proportional to 150.01, 206.89 and 100.78 is: 138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.01 : 206.89 = 100.78 : x
  2. Step 2: Convert to fraction form
    150.01/206.89 = 100.78/x
  3. Step 3: Cross multiply
    150.01x = 206.89 × 100.78
  4. Step 4: Simplify right side
    150.01x = 20,850.37
  5. Step 5: Solve for x
    x = 20,850.37/150.01
  6. Step 6: Final answer
    x = 138.99

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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.