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Finding the Fourth Proportional to 150.23, 207.24 and 110.94

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Solution

The fourth proportional to 150.23, 207.24 and 110.94 is: 153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.23 : 207.24 = 110.94 : x
  2. Step 2: Convert to fraction form
    150.23/207.24 = 110.94/x
  3. Step 3: Cross multiply
    150.23x = 207.24 × 110.94
  4. Step 4: Simplify right side
    150.23x = 22,991.21
  5. Step 5: Solve for x
    x = 22,991.21/150.23
  6. Step 6: Final answer
    x = 153.05

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Why These Related Problems?

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