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Finding the Fourth Proportional to 155.00, 232.31 and 109.10

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Solution

The fourth proportional to 155.00, 232.31 and 109.10 is: 163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.00 : 232.31 = 109.10 : x
  2. Step 2: Convert to fraction form
    155.00/232.31 = 109.10/x
  3. Step 3: Cross multiply
    155.00x = 232.31 × 109.10
  4. Step 4: Simplify right side
    155.00x = 25,343.31
  5. Step 5: Solve for x
    x = 25,343.31/155.00
  6. Step 6: Final answer
    x = 163.51

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Why These Related Problems?

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